204932480 has 96 divisors (see below), whose sum is σ = 517641840. Its totient is φ = 77571072.

The previous prime is 204932477. The next prime is 204932491. The reversal of 204932480 is 84239402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230597 + ... + 231483.

Almost surely, 2^204932480 is an apocalyptic number.

204932480 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 204932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258820920).

204932480 is an abundant number, since it is smaller than the sum of its proper divisors (312709360).

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

204932480 is an equidigital number, since it uses as much as digits as its factorization.

204932480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 204932480 is about 14315.4629684129. The cubic root of 204932480 is about 589.5721114733.

The spelling of 204932480 in words is "two hundred four million, nine hundred thirty-two thousand, four hundred eighty".