264630240 has 240 divisors, whose sum is σ = 1067707872. Its totient is φ = 60466176.

The previous prime is 264630227. The next prime is 264630263. The reversal of 264630240 is 42036462.

264630240 is a `hidden beast` number, since 2 + 6 + 4 + 630 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89262 + ... + 92178.

Almost surely, 2^264630240 is an apocalyptic number.

264630240 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 264630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533853936).

264630240 is an abundant number, since it is smaller than the sum of its proper divisors (803077632).

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

264630240 is a wasteful number, since it uses less digits than its factorization.

264630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 264630240 is about 16267.4595435182. The cubic root of 264630240 is about 642.0169442641.

The spelling of 264630240 in words is "two hundred sixty-four million, six hundred thirty thousand, two hundred forty".