481353600 has 768 divisors, whose sum is σ = 2124864000. Its totient is φ = 92897280.

The previous prime is 481353599. The next prime is 481353617. The reversal of 481353600 is 6353184.

481353600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16598386 + ... + 16598414.

It is an arithmetic number, because the mean of its divisors is an integer number (2766750).

Almost surely, 2^481353600 is an apocalyptic number.

481353600 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 481353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432000).

481353600 is an abundant number, since it is smaller than the sum of its proper divisors (1643510400).

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

481353600 is a wasteful number, since it uses less digits than its factorization.

481353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 481353600 is about 21939.7721045593. The cubic root of 481353600 is about 783.7088325967.

The spelling of 481353600 in words is "four hundred eighty-one million, three hundred fifty-three thousand, six hundred".