264070400 has 216 divisors, whose sum is σ = 742119168. Its totient is φ = 92928000.

The previous prime is 264070363. The next prime is 264070421. The reversal of 264070400 is 4070462.

264070400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8518385 + ... + 8518415.

Almost surely, 2^264070400 is an apocalyptic number.

264070400 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 264070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371059584).

264070400 is an abundant number, since it is smaller than the sum of its proper divisors (478048768).

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

264070400 is an equidigital number, since it uses as much as digits as its factorization.

264070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 264070400 is about 16250.2430751051. The cubic root of 264070400 is about 641.5638837638.

The spelling of 264070400 in words is "two hundred sixty-four million, seventy thousand, four hundred".