1408372992 has 162 divisors, whose sum is σ = 4398290442. Its totient is φ = 433225728.

The previous prime is 1408372981. The next prime is 1408373051. The reversal of 1408372992 is 2992738041.

It can be written as a sum of positive squares in 3 ways, for example, as 170459136 + 1237913856 = 13056^2 + 35184^2 .

It is a super-3 number, since 3×1408372992³ (a number of 28 digits) contains 333 as substring.

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 17 ways as a sum of consecutive naturals, for example, 387568 + ... + 391184.

It is an arithmetic number, because the mean of its divisors is an integer number (27149941).

Almost surely, 2^1408372992 is an apocalyptic number.

1408372992 is a gapful number since it is divisible by the number (12) 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 1408372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199145221).

1408372992 is an abundant number, since it is smaller than the sum of its proper divisors (2989917450).

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

1408372992 is a wasteful number, since it uses less digits than its factorization.

1408372992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1408372992 is about 37528.2958845722. The cubic root of 1408372992 is about 1120.9146949495.

The spelling of 1408372992 in words is "one billion, four hundred eight million, three hundred seventy-two thousand, nine hundred ninety-two".