225464160 has 48 divisors (see below), whose sum is σ = 710213616. Its totient is φ = 60123648.

The previous prime is 225464159. The next prime is 225464167. The reversal of 225464160 is 61464522.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225464167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234379 + ... + 235338.

It is an arithmetic number, because the mean of its divisors is an integer number (14796117).

Almost surely, 2^225464160 is an apocalyptic number.

225464160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225464160 is an abundant number, since it is smaller than the sum of its proper divisors (484749456).

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

225464160 is a wasteful number, since it uses less digits than its factorization.

225464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469735 (or 469727 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 225464160 is about 15015.4640287938. The cubic root of 225464160 is about 608.6381515278.

The spelling of 225464160 in words is "two hundred twenty-five million, four hundred sixty-four thousand, one hundred sixty".