225792864 has 144 divisors (see below), whose sum is σ = 705729024. Its totient is φ = 67910400.

The previous prime is 225792859. The next prime is 225792877. The reversal of 225792864 is 468297522.

225792864 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833049 + ... + 833319.

It is an arithmetic number, because the mean of its divisors is an integer number (4900896).

Almost surely, 2^225792864 is an apocalyptic number.

225792864 is a gapful number since it is divisible by the number (24) 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 225792864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352864512).

225792864 is an abundant number, since it is smaller than the sum of its proper divisors (479936160).

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

225792864 is a wasteful number, since it uses less digits than its factorization.

225792864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 225792864 is about 15026.4055582165. The cubic root of 225792864 is about 608.9337855809.

The spelling of 225792864 in words is "two hundred twenty-five million, seven hundred ninety-two thousand, eight hundred sixty-four".