264276000 has 192 divisors, whose sum is σ = 962357760. Its totient is φ = 70444800.

The previous prime is 264275993. The next prime is 264276017. The reversal of 264276000 is 672462.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106777 + ... + 109223.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^264276000 is an apocalyptic number.

264276000 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 264276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

264276000 is an abundant number, since it is smaller than the sum of its proper divisors (698081760).

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

264276000 is a wasteful number, since it uses less digits than its factorization.

264276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 264276000 is about 16256.5679034660. The cubic root of 264276000 is about 641.7303435617.

The spelling of 264276000 in words is "two hundred sixty-four million, two hundred seventy-six thousand".