609904800 has 432 divisors, whose sum is σ = 2339850240. Its totient is φ = 149022720.

The previous prime is 609904793. The next prime is 609904831. The reversal of 609904800 is 8409906.

609904800 is a `hidden beast` number, since 609 + 9 + 0 + 48 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4802337 + ... + 4802463.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^609904800 is an apocalyptic number.

609904800 is a gapful number since it is divisible by the number (60) 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 609904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

609904800 is an abundant number, since it is smaller than the sum of its proper divisors (1729945440).

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

609904800 is a wasteful number, since it uses less digits than its factorization.

609904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 609904800 is about 24696.2507275902. The cubic root of 609904800 is about 848.0484872002.

The spelling of 609904800 in words is "six hundred nine million, nine hundred four thousand, eight hundred".