264431360 has 144 divisors (see below), whose sum is σ = 679916160. Its totient is φ = 98242560.

The previous prime is 264431359. The next prime is 264431369. The reversal of 264431360 is 63134462.

264431360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264431369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018495 + ... + 2018625.

It is an arithmetic number, because the mean of its divisors is an integer number (4721640).

Almost surely, 2^264431360 is an apocalyptic number.

264431360 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 264431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339958080).

264431360 is an abundant number, since it is smaller than the sum of its proper divisors (415484800).

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

264431360 is a wasteful number, since it uses less digits than its factorization.

264431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 264431360 is about 16261.3455777805. The cubic root of 264431360 is about 641.8560703219.

The spelling of 264431360 in words is "two hundred sixty-four million, four hundred thirty-one thousand, three hundred sixty".