408112992 has 240 divisors, whose sum is σ = 1393362432. Its totient is φ = 114773760.

The previous prime is 408112987. The next prime is 408113003. The reversal of 408112992 is 299211804.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1505817 + ... + 1506087.

Almost surely, 2^408112992 is an apocalyptic number.

408112992 is a gapful number since it is divisible by the number (42) 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 408112992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696681216).

408112992 is an abundant number, since it is smaller than the sum of its proper divisors (985249440).

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

408112992 is a wasteful number, since it uses less digits than its factorization.

408112992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 408112992 is about 20201.8066518814. The cubic root of 408112992 is about 741.7544153272.

The spelling of 408112992 in words is "four hundred eight million, one hundred twelve thousand, nine hundred ninety-two".