480514680 has 160 divisors (see below), whose sum is σ = 1653102000. Its totient is φ = 125121024.

The previous prime is 480514669. The next prime is 480514733. The reversal of 480514680 is 86415084.

480514680 is a `hidden beast` number, since 4 + 80 + 514 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137596 + ... + 141044.

Almost surely, 2^480514680 is an apocalyptic number.

480514680 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 480514680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826551000).

480514680 is an abundant number, since it is smaller than the sum of its proper divisors (1172587320).

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

480514680 is a wasteful number, since it uses less digits than its factorization.

480514680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 480514680 is about 21920.6450635012. The cubic root of 480514680 is about 783.2532760596.

The spelling of 480514680 in words is "four hundred eighty million, five hundred fourteen thousand, six hundred eighty".