408856896 has 280 divisors, whose sum is σ = 1460479680. Its totient is φ = 110481408.

The previous prime is 408856891. The next prime is 408856937. The reversal of 408856896 is 698658804.

It is a happy number.

It is a super-2 number, since 2×408856896² = 334327922813509632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408856891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689176 + ... + 689768.

Almost surely, 2^408856896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730239840).

408856896 is an abundant number, since it is smaller than the sum of its proper divisors (1051622784).

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

408856896 is a wasteful number, since it uses less digits than its factorization.

408856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 408856896 is about 20220.2100879294. The cubic root of 408856896 is about 742.2048291084.

The spelling of 408856896 in words is "four hundred eight million, eight hundred fifty-six thousand, eight hundred ninety-six".