408796800 has 192 divisors, whose sum is σ = 1363454400. Its totient is φ = 107642880.

The previous prime is 408796763. The next prime is 408796819. The reversal of 408796800 is 8697804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×408796800² = 334229647380480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 930981 + ... + 931419.

It is an arithmetic number, because the mean of its divisors is an integer number (7101325).

Almost surely, 2^408796800 is an apocalyptic number.

408796800 is a gapful number since it is divisible by the number (40) 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 408796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681727200).

408796800 is an abundant number, since it is smaller than the sum of its proper divisors (954657600).

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

408796800 is a wasteful number, since it uses less digits than its factorization.

408796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 408796800 is about 20218.7239953465. The cubic root of 408796800 is about 742.1684628986.

The spelling of 408796800 in words is "four hundred eight million, seven hundred ninety-six thousand, eight hundred".