481396608 has 448 divisors, whose sum is σ = 1819451520. Its totient is φ = 123171840.

The previous prime is 481396583. The next prime is 481396627. The reversal of 481396608 is 806693184.

481396608 is a `hidden beast` number, since 4 + 8 + 1 + 39 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7184991 + ... + 7185057.

Almost surely, 2^481396608 is an apocalyptic number.

481396608 is a gapful number since it is divisible by the number (48) 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 481396608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909725760).

481396608 is an abundant number, since it is smaller than the sum of its proper divisors (1338054912).

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

481396608 is an equidigital number, since it uses as much as digits as its factorization.

481396608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 481396608 is about 21940.7522204687. The cubic root of 481396608 is about 783.7321728506.

The spelling of 481396608 in words is "four hundred eighty-one million, three hundred ninety-six thousand, six hundred eight".