481665600 has 504 divisors, whose sum is σ = 1926043392. Its totient is φ = 113356800.

The previous prime is 481665571. The next prime is 481665617. The reversal of 481665600 is 6566184.

481665600 is a `hidden beast` number, since 48 + 1 + 6 + 6 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5803159 + ... + 5803241.

Almost surely, 2^481665600 is an apocalyptic number.

481665600 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 481665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963021696).

481665600 is an abundant number, since it is smaller than the sum of its proper divisors (1444377792).

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

481665600 is a wasteful number, since it uses less digits than its factorization.

481665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 481665600 is about 21946.8813274233. The cubic root of 481665600 is about 783.8781221066.

The spelling of 481665600 in words is "four hundred eighty-one million, six hundred sixty-five thousand, six hundred".