225374880 has 96 divisors (see below), whose sum is σ = 718611264. Its totient is φ = 59365376.

The previous prime is 225374869. The next prime is 225374923. The reversal of 225374880 is 88473522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37012 + ... + 42668.

It is an arithmetic number, because the mean of its divisors is an integer number (7485534).

Almost surely, 2^225374880 is an apocalyptic number.

225374880 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 225374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359305632).

225374880 is an abundant number, since it is smaller than the sum of its proper divisors (493236384).

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

225374880 is a wasteful number, since it uses less digits than its factorization.

225374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 225374880 is about 15012.4907993311. The cubic root of 225374880 is about 608.5578041115.

The spelling of 225374880 in words is "two hundred twenty-five million, three hundred seventy-four thousand, eight hundred eighty".