408532992 has 288 divisors, whose sum is σ = 1344470400. Its totient is φ = 109756416.

The previous prime is 408532939. The next prime is 408533009. The reversal of 408532992 is 299235804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6924259 + ... + 6924317.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^408532992 is an apocalyptic number.

408532992 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 408532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200).

408532992 is an abundant number, since it is smaller than the sum of its proper divisors (935937408).

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

408532992 is a wasteful number, since it uses less digits than its factorization.

408532992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 408532992 is about 20212.1990886692. The cubic root of 408532992 is about 742.0087811943.

The spelling of 408532992 in words is "four hundred eight million, five hundred thirty-two thousand, nine hundred ninety-two".