264962880 has 448 divisors, whose sum is σ = 1153850880. Its totient is φ = 55738368.

The previous prime is 264962851. The next prime is 264962881. The reversal of 264962880 is 88269462.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264962881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786072 + ... + 786408.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 2^264962880 is an apocalyptic number.

264962880 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 264962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576925440).

264962880 is an abundant number, since it is smaller than the sum of its proper divisors (888888000).

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

264962880 is a wasteful number, since it uses less digits than its factorization.

264962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 264962880 is about 16277.6804244339. The cubic root of 264962880 is about 642.2858365582.

The spelling of 264962880 in words is "two hundred sixty-four million, nine hundred sixty-two thousand, eight hundred eighty".