480010752 has 160 divisors (see below), whose sum is σ = 1530735360. Its totient is φ = 147640320.

The previous prime is 480010747. The next prime is 480010757. The reversal of 480010752 is 257010084.

It is an interprime number because it is at equal distance from previous prime (480010747) and next prime (480010757).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (480010757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178377 + ... + 181047.

It is an arithmetic number, because the mean of its divisors is an integer number (9567096).

Almost surely, 2^480010752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765367680).

480010752 is an abundant number, since it is smaller than the sum of its proper divisors (1050724608).

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

480010752 is a wasteful number, since it uses less digits than its factorization.

480010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 480010752 is about 21909.1476785383. The cubic root of 480010752 is about 782.9793743925.

The spelling of 480010752 in words is "four hundred eighty million, ten thousand, seven hundred fifty-two".