264496752 has 120 divisors (see below), whose sum is σ = 826846384. Its totient is φ = 81368064.

The previous prime is 264496747. The next prime is 264496753. The reversal of 264496752 is 257694462.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 264496698 and 264496707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264496753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47928 + ... + 53160.

Almost surely, 2^264496752 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 264496752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413423192).

264496752 is an abundant number, since it is smaller than the sum of its proper divisors (562349632).

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

264496752 is a wasteful number, since it uses less digits than its factorization.

264496752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5251 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 264496752 is about 16263.3561112090. The cubic root of 264496752 is about 641.9089747792.

The spelling of 264496752 in words is "two hundred sixty-four million, four hundred ninety-six thousand, seven hundred fifty-two".