264400160 has 48 divisors (see below), whose sum is σ = 633230136. Its totient is φ = 104306688.

The previous prime is 264400153. The next prime is 264400189. The reversal of 264400160 is 61004462.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 191877904 + 72522256 = 13852^2 + 8516^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 362 + ... + 22998.

Almost surely, 2^264400160 is an apocalyptic number.

264400160 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 264400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316615068).

264400160 is an abundant number, since it is smaller than the sum of its proper divisors (368829976).

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

264400160 is a wasteful number, since it uses less digits than its factorization.

264400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22717 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 264400160 is about 16260.3862192754. The cubic root of 264400160 is about 641.8308253370.

The spelling of 264400160 in words is "two hundred sixty-four million, four hundred thousand, one hundred sixty".