264652416 has 192 divisors, whose sum is σ = 894890880. Its totient is φ = 73488384.

The previous prime is 264652403. The next prime is 264652433. The reversal of 264652416 is 614256462.

264652416 is a `hidden beast` number, since 2 + 646 + 5 + 2 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 297925 + ... + 298811.

It is an arithmetic number, because the mean of its divisors is an integer number (4660890).

Almost surely, 2^264652416 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 264652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447445440).

264652416 is an abundant number, since it is smaller than the sum of its proper divisors (630238464).

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

264652416 is a wasteful number, since it uses less digits than its factorization.

264652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 936 counting only the distinct ones).

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

The square root of 264652416 is about 16268.1411353602. The cubic root of 264652416 is about 642.0348774251.

The spelling of 264652416 in words is "two hundred sixty-four million, six hundred fifty-two thousand, four hundred sixteen".