264396408 has 64 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 84036480.

The previous prime is 264396401. The next prime is 264396409. The reversal of 264396408 is 804693462.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 264396408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264396401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253953 + ... + 254991.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2^264396408 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 264396408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

264396408 is an abundant number, since it is smaller than the sum of its proper divisors (427494792).

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

264396408 is a wasteful number, since it uses less digits than its factorization.

264396408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 264396408 is about 16260.2708464527. The cubic root of 264396408 is about 641.8277893320.

The spelling of 264396408 in words is "two hundred sixty-four million, three hundred ninety-six thousand, four hundred eight".