485620800 has 336 divisors, whose sum is σ = 1851964800. Its totient is φ = 109117440.

The previous prime is 485620787. The next prime is 485620823. The reversal of 485620800 is 8026584.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×485620800² = 471655122785280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3259126 + ... + 3259274.

It is an arithmetic number, because the mean of its divisors is an integer number (5511800).

Almost surely, 2^485620800 is an apocalyptic number.

485620800 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 485620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925982400).

485620800 is an abundant number, since it is smaller than the sum of its proper divisors (1366344000).

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

485620800 is a wasteful number, since it uses less digits than its factorization.

485620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 485620800 is about 22036.8055761265. The cubic root of 485620800 is about 786.0178825189.

The spelling of 485620800 in words is "four hundred eighty-five million, six hundred twenty thousand, eight hundred".