408426624 has 128 divisors (see below), whose sum is σ = 1221144000. Its totient is φ = 136048896.

The previous prime is 408426587. The next prime is 408426631. The reversal of 408426624 is 426624804.

It is a happy number.

408426624 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 26 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279207 + ... + 280665.

Almost surely, 2^408426624 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 408426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610572000).

408426624 is an abundant number, since it is smaller than the sum of its proper divisors (812717376).

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

408426624 is an frugal number, since it uses more digits than its factorization.

408426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 408426624 is about 20209.5676351574. The cubic root of 408426624 is about 741.9443777128.

The spelling of 408426624 in words is "four hundred eight million, four hundred twenty-six thousand, six hundred twenty-four".