480398688 has 480 divisors, whose sum is σ = 1844156160. Its totient is φ = 119024640.

The previous prime is 480398669. The next prime is 480398707. The reversal of 480398688 is 886893084.

480398688 is a `hidden beast` number, since 480 + 3 + 9 + 86 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (480398669) and next prime (480398707).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5787895 + ... + 5787977.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^480398688 is an apocalyptic number.

480398688 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 480398688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

480398688 is an abundant number, since it is smaller than the sum of its proper divisors (1363757472).

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

480398688 is a wasteful number, since it uses less digits than its factorization.

480398688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 480398688 is about 21917.9991787572. Note that the first 3 decimals coincide. The cubic root of 480398688 is about 783.1902475133.

The spelling of 480398688 in words is "four hundred eighty million, three hundred ninety-eight thousand, six hundred eighty-eight".