204715120 has 40 divisors (see below), whose sum is σ = 501017040. Its totient is φ = 77575680.

The previous prime is 204715109. The next prime is 204715129. The reversal of 204715120 is 21517402.

It is a happy number.

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

It is a super-2 number, since 2×204715120² = 83816560713228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204715091 and 204715100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204715129) 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, 65821 + ... + 68860.

It is an arithmetic number, because the mean of its divisors is an integer number (12525426).

Almost surely, 2^204715120 is an apocalyptic number.

204715120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204715120 is an abundant number, since it is smaller than the sum of its proper divisors (296301920).

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

204715120 is a wasteful number, since it uses less digits than its factorization.

204715120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134713 (or 134707 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 204715120 is about 14307.8691635058. The cubic root of 204715120 is about 589.3635960836.

The spelling of 204715120 in words is "two hundred four million, seven hundred fifteen thousand, one hundred twenty".