485204800 has 84 divisors (see below), whose sum is σ = 1235194380. Its totient is φ = 187371520.

The previous prime is 485204779. The next prime is 485204809. The reversal of 485204800 is 8402584.

It can be written as a sum of positive squares in 6 ways, for example, as 5419584 + 479785216 = 2328^2 + 21904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485204809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41172 + ... + 51628.

It is an arithmetic number, because the mean of its divisors is an integer number (14704695).

Almost surely, 2^485204800 is an apocalyptic number.

485204800 is a gapful number since it is divisible by the number (40) 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 485204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617597190).

485204800 is an abundant number, since it is smaller than the sum of its proper divisors (749989580).

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

485204800 is a wasteful number, since it uses less digits than its factorization.

485204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 485204800 is about 22027.3647992673. The cubic root of 485204800 is about 785.7933748014.

The spelling of 485204800 in words is "four hundred eighty-five million, two hundred four thousand, eight hundred".