225374400 has 420 divisors, whose sum is σ = 868911648. Its totient is φ = 57231360.

The previous prime is 225374339. The next prime is 225374441. The reversal of 225374400 is 4473522.

225374400 is a `hidden beast` number, since 2 + 253 + 7 + 4 + 400 = 666.

225374400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4795177 + ... + 4795223.

Almost surely, 2^225374400 is an apocalyptic number.

225374400 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 225374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434455824).

225374400 is an abundant number, since it is smaller than the sum of its proper divisors (643537248).

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

225374400 is a wasteful number, since it uses less digits than its factorization.

225374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 225374400 is about 15012.4748126350. The cubic root of 225374400 is about 608.5573720788.

The spelling of 225374400 in words is "two hundred twenty-five million, three hundred seventy-four thousand, four hundred".