264708000 has 480 divisors, whose sum is σ = 1046485440. Its totient is φ = 65318400.

The previous prime is 264707959. The next prime is 264708011. The reversal of 264708000 is 807462.

It is a tau number, because it is divible by the number of its divisors (480).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6155979 + ... + 6156021.

It is an arithmetic number, because the mean of its divisors is an integer number (2180178).

Almost surely, 2^264708000 is an apocalyptic number.

264708000 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 264708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523242720).

264708000 is an abundant number, since it is smaller than the sum of its proper divisors (781777440).

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

264708000 is a wasteful number, since it uses less digits than its factorization.

264708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 264708000 is about 16269.8494154064. The cubic root of 264708000 is about 642.0798223747.

The spelling of 264708000 in words is "two hundred sixty-four million, seven hundred eight thousand".