264984960 has 128 divisors (see below), whose sum is σ = 855820800. Its totient is φ = 69728256.

The previous prime is 264984959. The next prime is 264984961. The reversal of 264984960 is 69489462.

264984960 is digitally balanced in base 2, 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 (264984959) and next prime (264984961).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264984961) 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, 150807 + ... + 152553.

It is an arithmetic number, because the mean of its divisors is an integer number (6686100).

Almost surely, 2^264984960 is an apocalyptic number.

264984960 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 264984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427910400).

264984960 is an abundant number, since it is smaller than the sum of its proper divisors (590835840).

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

264984960 is a wasteful number, since it uses less digits than its factorization.

264984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 264984960 is about 16278.3586396172. The cubic root of 264984960 is about 642.3036771420.

The spelling of 264984960 in words is "two hundred sixty-four million, nine hundred eighty-four thousand, nine hundred sixty".