264765440 has 80 divisors (see below), whose sum is σ = 641727900. Its totient is φ = 104857600.

The previous prime is 264765359. The next prime is 264765481. The reversal of 264765440 is 44567462.

It can be written as a sum of positive squares in 2 ways, for example, as 251920384 + 12845056 = 15872^2 + 3584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 264765394 and 264765403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2621390 + ... + 2621490.

Almost surely, 2^264765440 is an apocalyptic number.

264765440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320863950).

264765440 is an abundant number, since it is smaller than the sum of its proper divisors (376962460).

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

264765440 is an frugal number, since it uses more digits than its factorization.

264765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 264765440 is about 16271.6145480404. The cubic root of 264765440 is about 642.1262614669.

The spelling of 264765440 in words is "two hundred sixty-four million, seven hundred sixty-five thousand, four hundred forty".