264234960 has 300 divisors, whose sum is σ = 1011734724. Its totient is φ = 63866880.

The previous prime is 264234959. The next prime is 264234977. The reversal of 264234960 is 69432462.

264234960 is a `hidden beast` number, since 2 + 642 + 3 + 4 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82955664 + 181279296 = 9108^2 + 13464^2 .

It is a super-2 number, since 2×264234960² = 139640228172403200, which contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 783912 + ... + 784248.

Almost surely, 2^264234960 is an apocalyptic number.

264234960 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 264234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505867362).

264234960 is an abundant number, since it is smaller than the sum of its proper divisors (747499764).

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

264234960 is a wasteful number, since it uses less digits than its factorization.

264234960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 264234960 is about 16255.3055954048. The cubic root of 264234960 is about 641.6971232709.

The spelling of 264234960 in words is "two hundred sixty-four million, two hundred thirty-four thousand, nine hundred sixty".