264882000 has 160 divisors (see below), whose sum is σ = 863051904. Its totient is φ = 69888000.

The previous prime is 264881957. The next prime is 264882019. The reversal of 264882000 is 288462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 785832 + ... + 786168.

Almost surely, 2^264882000 is an apocalyptic number.

264882000 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 264882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431525952).

264882000 is an abundant number, since it is smaller than the sum of its proper divisors (598169904).

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

264882000 is a wasteful number, since it uses less digits than its factorization.

264882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 264882000 is about 16275.1958513561. The cubic root of 264882000 is about 642.2204772582.

It can be divided in two parts, 2648 and 82000, that added together give a palindrome (84648).

The spelling of 264882000 in words is "two hundred sixty-four million, eight hundred eighty-two thousand".