225355440 has 40 divisors (see below), whose sum is σ = 698602608. Its totient is φ = 60094720.

The previous prime is 225355439. The next prime is 225355457. The reversal of 225355440 is 44553522.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 225355398 and 225355407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469251 + ... + 469730.

Almost surely, 2^225355440 is an apocalyptic number.

225355440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225355440 is an abundant number, since it is smaller than the sum of its proper divisors (473247168).

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

225355440 is a wasteful number, since it uses less digits than its factorization.

225355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938997 (or 938991 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 225355440 is about 15011.8433245221. The cubic root of 225355440 is about 608.5403062965.

The spelling of 225355440 in words is "two hundred twenty-five million, three hundred fifty-five thousand, four hundred forty".