204600480 has 144 divisors (see below), whose sum is σ = 749800800. Its totient is φ = 46760448.

The previous prime is 204600469. The next prime is 204600499. The reversal of 204600480 is 84006402.

It is a super-2 number, since 2×204600480² = 83722712832460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204600480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19171 + ... + 27869.

It is an arithmetic number, because the mean of its divisors is an integer number (5206950).

Almost surely, 2^204600480 is an apocalyptic number.

204600480 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 204600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374900400).

204600480 is an abundant number, since it is smaller than the sum of its proper divisors (545200320).

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

204600480 is a wasteful number, since it uses less digits than its factorization.

204600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 204600480 is about 14303.8624154457. The cubic root of 204600480 is about 589.2535614518.

Adding to 204600480 its reverse (84006402), we get a palindrome (288606882).

The spelling of 204600480 in words is "two hundred four million, six hundred thousand, four hundred eighty".