225440640 has 96 divisors (see below), whose sum is σ = 778494600. Its totient is φ = 60115968.

The previous prime is 225440639. The next prime is 225440647. The reversal of 225440640 is 46044522.

225440640 is a `hidden beast` number, since 2 + 254 + 406 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225440647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13810 + ... + 25329.

Almost surely, 2^225440640 is an apocalyptic number.

225440640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225440640 is an abundant number, since it is smaller than the sum of its proper divisors (553053960).

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

225440640 is a wasteful number, since it uses less digits than its factorization.

225440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39164 (or 39149 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 225440640 is about 15014.6808157883. The cubic root of 225440640 is about 608.6169867935.

The spelling of 225440640 in words is "two hundred twenty-five million, four hundred forty thousand, six hundred forty".