264893880 has 128 divisors (see below), whose sum is σ = 824878080. Its totient is φ = 68006400.

The previous prime is 264893869. The next prime is 264893899. The reversal of 264893880 is 88398462.

It is a happy number.

It is a super-2 number, since 2×264893880² = 140337535322908800, which contains 22 as substring.

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, 377530 + ... + 378230.

It is an arithmetic number, because the mean of its divisors is an integer number (6444360).

Almost surely, 2^264893880 is an apocalyptic number.

264893880 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 264893880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412439040).

264893880 is an abundant number, since it is smaller than the sum of its proper divisors (559984200).

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

264893880 is a wasteful number, since it uses less digits than its factorization.

264893880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 264893880 is about 16275.5608198304. The cubic root of 264893880 is about 642.2300783450.

The spelling of 264893880 in words is "two hundred sixty-four million, eight hundred ninety-three thousand, eight hundred eighty".