225870480 has 360 divisors, whose sum is σ = 884407680. Its totient is φ = 51217920.

The previous prime is 225870457. The next prime is 225870497. The reversal of 225870480 is 84078522.

It is a happy number.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2859081 + ... + 2859159.

It is an arithmetic number, because the mean of its divisors is an integer number (2456688).

Almost surely, 2^225870480 is an apocalyptic number.

225870480 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 225870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442203840).

225870480 is an abundant number, since it is smaller than the sum of its proper divisors (658537200).

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

225870480 is a wasteful number, since it uses less digits than its factorization.

225870480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 225870480 is about 15028.9879898814. The cubic root of 225870480 is about 609.0035509835.

The spelling of 225870480 in words is "two hundred twenty-five million, eight hundred seventy thousand, four hundred eighty".