408263856 has 320 divisors, whose sum is σ = 1469905920. Its totient is φ = 94187520.

The previous prime is 408263839. The next prime is 408263861. The reversal of 408263856 is 658362804.

It is a super-2 number, since 2×408263856² = 333358752231977472, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 1393246 + ... + 1393538.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2^408263856 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 408263856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734952960).

408263856 is an abundant number, since it is smaller than the sum of its proper divisors (1061642064).

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

408263856 is a wasteful number, since it uses less digits than its factorization.

408263856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 408263856 is about 20205.5402303428. The cubic root of 408263856 is about 741.8458036227.

The spelling of 408263856 in words is "four hundred eight million, two hundred sixty-three thousand, eight hundred fifty-six".