225025790400 has 252 divisors, whose sum is σ = 846842463792. Its totient is φ = 56476999680.

The previous prime is 225025790399. The next prime is 225025790449. The reversal of 225025790400 is 4097520522.

It is a happy number.

225025790400 is a `hidden beast` number, since 22 + 502 + 5 + 7 + 90 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214812 + ... + 704411.

Almost surely, 2^225025790400 is an apocalyptic number.

225025790400 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 225025790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423421231896).

225025790400 is an abundant number, since it is smaller than the sum of its proper divisors (621816673392).

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

225025790400 is a wasteful number, since it uses less digits than its factorization.

225025790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919268 (or 919250 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 225025790400 in words is "two hundred twenty-five billion, twenty-five million, seven hundred ninety thousand, four hundred".