481252200 has 384 divisors, whose sum is σ = 1799884800. Its totient is φ = 104832000.

The previous prime is 481252199. The next prime is 481252217. The reversal of 481252200 is 2252184.

481252200 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 (24).

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, 6091761 + ... + 6091839.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^481252200 is an apocalyptic number.

481252200 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 481252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

481252200 is an abundant number, since it is smaller than the sum of its proper divisors (1318632600).

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

481252200 is a wasteful number, since it uses less digits than its factorization.

481252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 481252200 is about 21937.4611110766. The cubic root of 481252200 is about 783.6537977558.

The spelling of 481252200 in words is "four hundred eighty-one million, two hundred fifty-two thousand, two hundred".