225002400 has 288 divisors, whose sum is σ = 854945280. Its totient is φ = 50334720.

The previous prime is 225002381. The next prime is 225002411. The reversal of 225002400 is 4200522.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 225002400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991087 + ... + 991313.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^225002400 is an apocalyptic number.

225002400 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 225002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

225002400 is an abundant number, since it is smaller than the sum of its proper divisors (629942880).

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

225002400 is a wasteful number, since it uses less digits than its factorization.

225002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 225002400 is about 15000.0799997867. The cubic root of 225002400 is about 608.2223621104. Note that the first 3 decimals are identical.

Adding to 225002400 its reverse (4200522), we get a palindrome (229202922).

The spelling of 225002400 in words is "two hundred twenty-five million, two thousand, four hundred".