264705408 has 240 divisors, whose sum is σ = 869987580. Its totient is φ = 79833600.

The previous prime is 264705391. The next prime is 264705433. The reversal of 264705408 is 804507462.

264705408 is a `hidden beast` number, since 2 + 647 + 0 + 5 + 4 + 0 + 8 = 666.

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

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 29 ways as a sum of consecutive naturals, for example, 1254423 + ... + 1254633.

Almost surely, 2^264705408 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 264705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434993790).

264705408 is an abundant number, since it is smaller than the sum of its proper divisors (605282172).

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

264705408 is a wasteful number, since it uses less digits than its factorization.

264705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 264705408 is about 16269.7697586659. The cubic root of 264705408 is about 642.0777266361.

It can be divided in two parts, 26470 and 5408, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 264705408 in words is "two hundred sixty-four million, seven hundred five thousand, four hundred eight".