225984000 has 320 divisors, whose sum is σ = 827304192. Its totient is φ = 54272000.

The previous prime is 225983987. The next prime is 225984023. The reversal of 225984000 is 489522.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111947 + ... + 2112053.

Almost surely, 2^225984000 is an apocalyptic number.

225984000 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 225984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413652096).

225984000 is an abundant number, since it is smaller than the sum of its proper divisors (601320192).

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

225984000 is a wasteful number, since it uses less digits than its factorization.

225984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 225984000 is about 15032.7642168698. The cubic root of 225984000 is about 609.1055600410.

The spelling of 225984000 in words is "two hundred twenty-five million, nine hundred eighty-four thousand".