264409228800 has 960 divisors, whose sum is σ = 1038562694400. Its totient is φ = 65691648000.

The previous prime is 264409228789. The next prime is 264409228813. The reversal of 264409228800 is 8822904462.

264409228800 is a `hidden beast` number, since 26 + 440 + 92 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×264409228800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439948500 + ... + 439949100.

It is an arithmetic number, because the mean of its divisors is an integer number (1081836140).

Almost surely, 2^264409228800 is an apocalyptic number.

264409228800 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 264409228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519281347200).

264409228800 is an abundant number, since it is smaller than the sum of its proper divisors (774153465600).

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

264409228800 is a wasteful number, since it uses less digits than its factorization.

264409228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 264409228800 in words is "two hundred sixty-four billion, four hundred nine million, two hundred twenty-eight thousand, eight hundred".