483580800 has 384 divisors, whose sum is σ = 1840284000. Its totient is φ = 123863040.

The previous prime is 483580781. The next prime is 483580817. The reversal of 483580800 is 8085384.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 2505504 + ... + 2505696.

Almost surely, 2^483580800 is an apocalyptic number.

483580800 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 483580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920142000).

483580800 is an abundant number, since it is smaller than the sum of its proper divisors (1356703200).

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

483580800 is a wasteful number, since it uses less digits than its factorization.

483580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 483580800 is about 21990.4706634487. The cubic root of 483580800 is about 784.9157008480.

The spelling of 483580800 in words is "four hundred eighty-three million, five hundred eighty thousand, eight hundred".