264465216 has 112 divisors (see below), whose sum is σ = 802721280. Its totient is φ = 85294080.

The previous prime is 264465139. The next prime is 264465221. The reversal of 264465216 is 612564462.

264465216 is a `hidden beast` number, since 2 + 644 + 6 + 5 + 2 + 1 + 6 = 666.

264465216 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51100 + ... + 56036.

Almost surely, 2^264465216 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 264465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401360640).

264465216 is an abundant number, since it is smaller than the sum of its proper divisors (538256064).

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

264465216 is a wasteful number, since it uses less digits than its factorization.

264465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4973 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 264465216 is about 16262.3865407264. The cubic root of 264465216 is about 641.8834621206.

The spelling of 264465216 in words is "two hundred sixty-four million, four hundred sixty-five thousand, two hundred sixteen".