264504960 has 128 divisors (see below), whose sum is σ = 936849600. Its totient is φ = 70530048.

The previous prime is 264504953. The next prime is 264504973. The reversal of 264504960 is 69405462.

264504960 is a `hidden beast` number, since 2 + 64 + 504 + 96 + 0 = 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, 9627 + ... + 24933.

Almost surely, 2^264504960 is an apocalyptic number.

264504960 is a gapful number since it is divisible by the number (20) 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 264504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468424800).

264504960 is an abundant number, since it is smaller than the sum of its proper divisors (672344640).

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

264504960 is a wasteful number, since it uses less digits than its factorization.

264504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15335 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 264504960 is about 16263.6084556903. The cubic root of 264504960 is about 641.9156147276.

The spelling of 264504960 in words is "two hundred sixty-four million, five hundred four thousand, nine hundred sixty".