485152800 has 576 divisors, whose sum is σ = 1943875584. Its totient is φ = 103628800.

The previous prime is 485152781. The next prime is 485152813. The reversal of 485152800 is 8251584.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10322377 + ... + 10322423.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^485152800 is an apocalyptic number.

485152800 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 485152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971937792).

485152800 is an abundant number, since it is smaller than the sum of its proper divisors (1458722784).

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

485152800 is a wasteful number, since it uses less digits than its factorization.

485152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 485152800 is about 22026.1844176426. The cubic root of 485152800 is about 785.7653023151.

It can be divided in two parts, 48515 and 2800, that added together give a palindrome (51315).

The spelling of 485152800 in words is "four hundred eighty-five million, one hundred fifty-two thousand, eight hundred".