225460944 has 60 divisors (see below), whose sum is σ = 638996800. Its totient is φ = 74198592.

The previous prime is 225460933. The next prime is 225460979. The reversal of 225460944 is 449064522.

225460944 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 609 + 44 = 666.

It is a super-2 number, since 2×225460944² = 101665274538742272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225460899 and 225460908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1467 + ... + 21285.

Almost surely, 2^225460944 is an apocalyptic number.

225460944 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 225460944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319498400).

225460944 is an abundant number, since it is smaller than the sum of its proper divisors (413535856).

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

225460944 is a wasteful number, since it uses less digits than its factorization.

225460944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19912 (or 19903 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 225460944 is about 15015.3569388143. The cubic root of 225460944 is about 608.6352576612.

The spelling of 225460944 in words is "two hundred twenty-five million, four hundred sixty thousand, nine hundred forty-four".