264746496 has 80 divisors (see below), whose sum is σ = 806091264. Its totient is φ = 75638784.

The previous prime is 264746467. The next prime is 264746533. The reversal of 264746496 is 694647462.

264746496 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1560 + ... + 23063.

Almost surely, 2^264746496 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 264746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403045632).

264746496 is an abundant number, since it is smaller than the sum of its proper divisors (541344768).

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

264746496 is an equidigital number, since it uses as much as digits as its factorization.

264746496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24651 (or 24635 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 264746496 is about 16271.0324196100. The cubic root of 264746496 is about 642.1109463638.

The spelling of 264746496 in words is "two hundred sixty-four million, seven hundred forty-six thousand, four hundred ninety-six".