204456960 has 440 divisors, whose sum is σ = 802505880. Its totient is φ = 49545216.

The previous prime is 204456953. The next prime is 204456979. The reversal of 204456960 is 69654402.

It can be written as a sum of positive squares in 4 ways, for example, as 43877376 + 160579584 = 6624^2 + 12672^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7050226 + ... + 7050254.

It is an arithmetic number, because the mean of its divisors is an integer number (1823877).

Almost surely, 2^204456960 is an apocalyptic number.

204456960 is a gapful number since it is divisible by the number (20) 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 204456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401252940).

204456960 is an abundant number, since it is smaller than the sum of its proper divisors (598048920).

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

204456960 is a wasteful number, since it uses less digits than its factorization.

204456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 204456960 is about 14298.8447085770. The cubic root of 204456960 is about 589.1157490461.

The spelling of 204456960 in words is "two hundred four million, four hundred fifty-six thousand, nine hundred sixty".