1897992000 has 560 divisors, whose sum is σ = 7335591120. Its totient is φ = 483840000.

The previous prime is 1897991989. The next prime is 1897992011. The reversal of 1897992000 is 2997981.

It is an interprime number because it is at equal distance from previous prime (1897991989) and next prime (1897992011).

It can be written as a sum of positive squares in 8 ways, for example, as 166100544 + 1731891456 = 12888^2 + 41616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 18791950 + ... + 18792050.

Almost surely, 2^1897992000 is an apocalyptic number.

1897992000 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 1897992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667795560).

1897992000 is an abundant number, since it is smaller than the sum of its proper divisors (5437599120).

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

1897992000 is a wasteful number, since it uses less digits than its factorization.

1897992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1897992000 is about 43565.9500068574. The cubic root of 1897992000 is about 1238.1258542255.

The spelling of 1897992000 in words is "one billion, eight hundred ninety-seven million, nine hundred ninety-two thousand".