1492992000 has 420 divisors, whose sum is σ = 5587035636. Its totient is φ = 398131200.

The previous prime is 1492991993. The next prime is 1492992001. The reversal of 1492992000 is 2992941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ (2!)².

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 1445216256 = 6912^2 + 38016^2 .

It is a super-2 number, since 2×1492992000² = 4458050224128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1492992001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 298598398 + ... + 298598402.

Almost surely, 2^1492992000 is an apocalyptic number.

1492992000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1492992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793517818).

1492992000 is an abundant number, since it is smaller than the sum of its proper divisors (4094043636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1492992000 is an frugal number, since it uses more digits than its factorization.

1492992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1492992000 is about 38639.2546511964. The cubic root of 1492992000 is about 1142.9287574171.

Multiplying 1492992000 by its product of nonzero digits (11664), we get a cube (17414258688000 = 25920³).

It can be divided in two parts, 14929 and 92000, that added together give a square (106929 = 327²).

The spelling of 1492992000 in words is "one billion, four hundred ninety-two million, nine hundred ninety-two thousand".