408356664 has 64 divisors (see below), whose sum is σ = 1078492800. Its totient is φ = 128490624.

The previous prime is 408356659. The next prime is 408356719. The reversal of 408356664 is 466653804.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 138534 + ... + 141450.

It is an arithmetic number, because the mean of its divisors is an integer number (16851450).

Almost surely, 2^408356664 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 408356664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539246400).

408356664 is an abundant number, since it is smaller than the sum of its proper divisors (670136136).

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

408356664 is a wasteful number, since it uses less digits than its factorization.

408356664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 408356664 is about 20207.8366976775. The cubic root of 408356664 is about 741.9020123775.

The spelling of 408356664 in words is "four hundred eight million, three hundred fifty-six thousand, six hundred sixty-four".