485182800 has 180 divisors, whose sum is σ = 1693051360. Its totient is φ = 128666880.

The previous prime is 485182787. The next prime is 485182801. The reversal of 485182800 is 8281584.

It is a tau number, because it is divible by the number of its divisors (180).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485182801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1104981 + ... + 1105419.

Almost surely, 2^485182800 is an apocalyptic number.

485182800 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 485182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846525680).

485182800 is an abundant number, since it is smaller than the sum of its proper divisors (1207868560).

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

485182800 is a wasteful number, since it uses less digits than its factorization.

485182800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 485182800 is about 22026.8654147611. The cubic root of 485182800 is about 785.7814982251.

The spelling of 485182800 in words is "four hundred eighty-five million, one hundred eighty-two thousand, eight hundred".