264378912 has 240 divisors, whose sum is σ = 858316032. Its totient is φ = 71124480.

The previous prime is 264378911. The next prime is 264378929. The reversal of 264378912 is 219873462.

It is a super-2 number, since 2×264378912² = 139792418220607488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264378911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7145358 + ... + 7145394.

Almost surely, 2^264378912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264378912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429158016).

264378912 is an abundant number, since it is smaller than the sum of its proper divisors (593937120).

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

264378912 is an equidigital number, since it uses as much as digits as its factorization.

264378912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 264378912 is about 16259.7328391336. The cubic root of 264378912 is about 641.8136317182.

The spelling of 264378912 in words is "two hundred sixty-four million, three hundred seventy-eight thousand, nine hundred twelve".