264405456 has 120 divisors (see below), whose sum is σ = 863825664. Its totient is φ = 73923840.

The previous prime is 264405451. The next prime is 264405467. The reversal of 264405456 is 654504462.

264405456 is a `hidden beast` number, since 2 + 644 + 0 + 5 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 264405456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264405451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44586 + ... + 50166.

Almost surely, 2^264405456 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 264405456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431912832).

264405456 is an abundant number, since it is smaller than the sum of its proper divisors (599420208).

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

264405456 is a wasteful number, since it uses less digits than its factorization.

264405456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 264405456 is about 16260.5490682203. The cubic root of 264405456 is about 641.8351106513.

The spelling of 264405456 in words is "two hundred sixty-four million, four hundred five thousand, four hundred fifty-six".