264933760 has 128 divisors (see below), whose sum is σ = 779688000. Its totient is φ = 83828736.

The previous prime is 264933733. The next prime is 264933761. The reversal of 264933760 is 67339462.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264933761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55966 + ... + 60514.

Almost surely, 2^264933760 is an apocalyptic number.

264933760 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 264933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389844000).

264933760 is an abundant number, since it is smaller than the sum of its proper divisors (514754240).

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

264933760 is a wasteful number, since it uses less digits than its factorization.

264933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 264933760 is about 16276.7859235170. The cubic root of 264933760 is about 642.2623061568.

The spelling of 264933760 in words is "two hundred sixty-four million, nine hundred thirty-three thousand, seven hundred sixty".