485576100 has 288 divisors, whose sum is σ = 1687392000. Its totient is φ = 119347200.

The previous prime is 485576099. The next prime is 485576137. The reversal of 485576100 is 1675584.

485576100 is a `hidden beast` number, since 4 + 85 + 576 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3258826 + ... + 3258974.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2^485576100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485576100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696000).

485576100 is an abundant number, since it is smaller than the sum of its proper divisors (1201815900).

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

485576100 is a wasteful number, since it uses less digits than its factorization.

485576100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 485576100 is about 22035.7913404534. The cubic root of 485576100 is about 785.9937648827.

The spelling of 485576100 in words is "four hundred eighty-five million, five hundred seventy-six thousand, one hundred".