264753408 has 72 divisors (see below), whose sum is σ = 721106848. Its totient is φ = 86188032.

The previous prime is 264753403. The next prime is 264753409. The reversal of 264753408 is 804357462.

It is a happy number.

It is a super-2 number, since 2×264753408² = 140188734095228928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264753403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29016 + ... + 37032.

Almost surely, 2^264753408 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 264753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360553424).

264753408 is an abundant number, since it is smaller than the sum of its proper divisors (456353440).

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

264753408 is an equidigital number, since it uses as much as digits as its factorization.

264753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8065 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 264753408 is about 16271.2448202343. The cubic root of 264753408 is about 642.1165343915.

The spelling of 264753408 in words is "two hundred sixty-four million, seven hundred fifty-three thousand, four hundred eight".