264412512 has 480 divisors, whose sum is σ = 1024531200. Its totient is φ = 64945152.

The previous prime is 264412507. The next prime is 264412523. The reversal of 264412512 is 215214462.

264412512 is a `hidden beast` number, since 2 + 644 + 1 + 2 + 5 + 12 = 666.

264412512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (3840) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4481539 + ... + 4481597.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^264412512 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 264412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512265600).

264412512 is an abundant number, since it is smaller than the sum of its proper divisors (760118688).

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

264412512 is a wasteful number, since it uses less digits than its factorization.

264412512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 264412512 is about 16260.7660336160. The cubic root of 264412512 is about 641.8408199993.

Adding to 264412512 its reverse (215214462), we get a palindrome (479626974).

The spelling of 264412512 in words is "two hundred sixty-four million, four hundred twelve thousand, five hundred twelve".