264630408 has 128 divisors (see below), whose sum is σ = 776601600. Its totient is φ = 73592064.

The previous prime is 264630343. The next prime is 264630427. The reversal of 264630408 is 804036462.

264630408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685466 + ... + 1685622.

It is an arithmetic number, because the mean of its divisors is an integer number (6067200).

Almost surely, 2^264630408 is an apocalyptic number.

264630408 is a gapful number since it is divisible by the number (28) 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 264630408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388300800).

264630408 is an abundant number, since it is smaller than the sum of its proper divisors (511971192).

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

264630408 is a wasteful number, since it uses less digits than its factorization.

264630408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 264630408 is about 16267.4647072001. The cubic root of 264630408 is about 642.0170801252.

The spelling of 264630408 in words is "two hundred sixty-four million, six hundred thirty thousand, four hundred eight".