264714000 has 80 divisors (see below), whose sum is σ = 853457280. Its totient is φ = 70588800.

The previous prime is 264713993. The next prime is 264714019. The reversal of 264714000 is 417462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16060 + ... + 28059.

It is an arithmetic number, because the mean of its divisors is an integer number (10668216).

Almost surely, 2^264714000 is an apocalyptic number.

264714000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264714000 is an abundant number, since it is smaller than the sum of its proper divisors (588743280).

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

264714000 is a wasteful number, since it uses less digits than its factorization.

264714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44145 (or 44129 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 264714000 is about 16270.0338045131. The cubic root of 264714000 is about 642.0846735690.

The spelling of 264714000 in words is "two hundred sixty-four million, seven hundred fourteen thousand".