225428400 has 120 divisors (see below), whose sum is σ = 802396560. Its totient is φ = 60111360.

The previous prime is 225428363. The next prime is 225428419. The reversal of 225428400 is 4824522.

It is a happy number.

225428400 is a `hidden beast` number, since 2 + 254 + 2 + 8 + 400 = 666.

225428400 is digitally balanced in base 3, because in such base 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 (120).

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 23 ways as a sum of consecutive naturals, for example, 364 + ... + 21236.

It is an arithmetic number, because the mean of its divisors is an integer number (6686638).

Almost surely, 2^225428400 is an apocalyptic number.

225428400 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 225428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401198280).

225428400 is an abundant number, since it is smaller than the sum of its proper divisors (576968160).

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

225428400 is a wasteful number, since it uses less digits than its factorization.

225428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20900 (or 20883 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 225428400 is about 15014.2732091833. The cubic root of 225428400 is about 608.6059719106.

The spelling of 225428400 in words is "two hundred twenty-five million, four hundred twenty-eight thousand, four hundred".