264738816 has 144 divisors (see below), whose sum is σ = 781915680. Its totient is φ = 86261760.

The previous prime is 264738757. The next prime is 264738823. The reversal of 264738816 is 618837462.

264738816 is a `hidden beast` number, since 264 + 7 + 388 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976761 + ... + 977031.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^264738816 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 264738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390957840).

264738816 is an abundant number, since it is smaller than the sum of its proper divisors (517176864).

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

264738816 is a wasteful number, since it uses less digits than its factorization.

264738816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 264738816 is about 16270.7964156645. The cubic root of 264738816 is about 642.1047373301.

The spelling of 264738816 in words is "two hundred sixty-four million, seven hundred thirty-eight thousand, eight hundred sixteen".