264053412 has 192 divisors, whose sum is σ = 851558400. Its totient is φ = 69050880.

The previous prime is 264053357. The next prime is 264053429. The reversal of 264053412 is 214350462.

264053412 is a `hidden beast` number, since 2 + 640 + 5 + 3 + 4 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444988 + ... + 445580.

It is an arithmetic number, because the mean of its divisors is an integer number (4435200).

Almost surely, 2^264053412 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 264053412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425779200).

264053412 is an abundant number, since it is smaller than the sum of its proper divisors (587504988).

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

264053412 is a wasteful number, since it uses less digits than its factorization.

264053412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 264053412 is about 16249.7203668248. The cubic root of 264053412 is about 641.5501259161.

The spelling of 264053412 in words is "two hundred sixty-four million, fifty-three thousand, four hundred twelve".