225401904 has 240 divisors, whose sum is σ = 788616192. Its totient is φ = 58516992.

The previous prime is 225401879. The next prime is 225401923. The reversal of 225401904 is 409104522.

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, 1349629 + ... + 1349795.

Almost surely, 2^225401904 is an apocalyptic number.

225401904 is a gapful number since it is divisible by the number (24) 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 225401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394308096).

225401904 is an abundant number, since it is smaller than the sum of its proper divisors (563214288).

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

225401904 is a wasteful number, since it uses less digits than its factorization.

225401904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225401904 is about 15013.3908228621. The cubic root of 225401904 is about 608.5821265631.

The spelling of 225401904 in words is "two hundred twenty-five million, four hundred one thousand, nine hundred four".