264466368 has 84 divisors (see below), whose sum is σ = 774252960. Its totient is φ = 86270976.

The previous prime is 264466361. The next prime is 264466369. The reversal of 264466368 is 863664462.

264466368 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 6 + 636 + 8 = 666.

It is a super-2 number, since 2×264466368² = 139884919606222848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264466361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22188 + ... + 31956.

Almost surely, 2^264466368 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 264466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387126480).

264466368 is an abundant number, since it is smaller than the sum of its proper divisors (509786592).

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

264466368 is a wasteful number, since it uses less digits than its factorization.

264466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9834 (or 9821 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 264466368 is about 16262.4219598435. The cubic root of 264466368 is about 641.8843941256.

The spelling of 264466368 in words is "two hundred sixty-four million, four hundred sixty-six thousand, three hundred sixty-eight".