225050400 has 360 divisors, whose sum is σ = 862069824. Its totient is φ = 57024000.

The previous prime is 225050393. The next prime is 225050401. The reversal of 225050400 is 4050522.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (225050401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1490325 + ... + 1490475.

Almost surely, 2^225050400 is an apocalyptic number.

225050400 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 225050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

225050400 is an abundant number, since it is smaller than the sum of its proper divisors (637019424).

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

225050400 is a wasteful number, since it uses less digits than its factorization.

225050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 225050400 is about 15001.6799059305. The cubic root of 225050400 is about 608.2656099418.

It can be divided in two parts, 2250 and 50400, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 225050400 in words is "two hundred twenty-five million, fifty thousand, four hundred".