408608928 has 192 divisors, whose sum is σ = 1467083520. Its totient is φ = 107744256.

The previous prime is 408608909. The next prime is 408608951. The reversal of 408608928 is 829806804.

It is a happy number.

It is a super-2 number, since 2×408608928² = 333922512082618368, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 76026 + ... + 81222.

It is an arithmetic number, because the mean of its divisors is an integer number (7641060).

Almost surely, 2^408608928 is an apocalyptic number.

408608928 is a gapful number since it is divisible by the number (48) 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 408608928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733541760).

408608928 is an abundant number, since it is smaller than the sum of its proper divisors (1058474592).

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

408608928 is a wasteful number, since it uses less digits than its factorization.

408608928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 408608928 is about 20214.0774709112. The cubic root of 408608928 is about 742.0547519312.

The spelling of 408608928 in words is "four hundred eight million, six hundred eight thousand, nine hundred twenty-eight".