264483072 has 324 divisors, whose sum is σ = 940436224. Its totient is φ = 69949440.

The previous prime is 264483071. The next prime is 264483083. The reversal of 264483072 is 270384462.

264483072 is a `hidden beast` number, since 2 + 644 + 8 + 3 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264483071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8531697 + ... + 8531727.

Almost surely, 2^264483072 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 264483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470218112).

264483072 is an abundant number, since it is smaller than the sum of its proper divisors (675953152).

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

264483072 is a wasteful number, since it uses less digits than its factorization.

264483072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 264483072 is about 16262.9355283725. The cubic root of 264483072 is about 641.8979078933.

The spelling of 264483072 in words is "two hundred sixty-four million, four hundred eighty-three thousand, seventy-two".