264914496 has 336 divisors, whose sum is σ = 983731840. Its totient is φ = 68428800.

The previous prime is 264914479. The next prime is 264914497. The reversal of 264914496 is 694419462.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (264914497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463526 + ... + 1463706.

Almost surely, 2^264914496 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 264914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491865920).

264914496 is an abundant number, since it is smaller than the sum of its proper divisors (718817344).

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

264914496 is a wasteful number, since it uses less digits than its factorization.

264914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 264914496 is about 16276.1941497391. The cubic root of 264914496 is about 642.2467389436.

The spelling of 264914496 in words is "two hundred sixty-four million, nine hundred fourteen thousand, four hundred ninety-six".