483806400 has 756 divisors, whose sum is σ = 2148940584. Its totient is φ = 94617600.

The previous prime is 483806381. The next prime is 483806423. The reversal of 483806400 is 4608384.

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 107 ways as a sum of consecutive naturals, for example, 28459192 + ... + 28459208.

It is an arithmetic number, because the mean of its divisors is an integer number (2842514).

Almost surely, 2^483806400 is an apocalyptic number.

483806400 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 483806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074470292).

483806400 is an abundant number, since it is smaller than the sum of its proper divisors (1665134184).

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

483806400 is a wasteful number, since it uses less digits than its factorization.

483806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 483806400 is about 21995.5995599120. The cubic root of 483806400 is about 785.0377414340.

The spelling of 483806400 in words is "four hundred eighty-three million, eight hundred six thousand, four hundred".