264754880 has 112 divisors (see below), whose sum is σ = 701186304. Its totient is φ = 94556160.

The previous prime is 264754877. The next prime is 264754883. The reversal of 264754880 is 88457462.

264754880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264754877) and next prime (264754883).

It is not an unprimeable number, because it can be changed into a prime (264754883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127934 + ... + 129986.

It is an arithmetic number, because the mean of its divisors is an integer number (6260592).

Almost surely, 2^264754880 is an apocalyptic number.

264754880 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 264754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350593152).

264754880 is an abundant number, since it is smaller than the sum of its proper divisors (436431424).

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

264754880 is a wasteful number, since it uses less digits than its factorization.

264754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 264754880 is about 16271.2900533424. The cubic root of 264754880 is about 642.1177244219.

The spelling of 264754880 in words is "two hundred sixty-four million, seven hundred fifty-four thousand, eight hundred eighty".