480414330 has 96 divisors (see below), whose sum is σ = 1373718528. Its totient is φ = 115516800.

The previous prime is 480414287. The next prime is 480414349. The reversal of 480414330 is 33414084.

It is a junction number, because it is equal to n+sod(n) for n = 480414294 and 480414303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123820 + ... + 127640.

It is an arithmetic number, because the mean of its divisors is an integer number (14309568).

Almost surely, 2^480414330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480414330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686859264).

480414330 is an abundant number, since it is smaller than the sum of its proper divisors (893304198).

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

480414330 is a wasteful number, since it uses less digits than its factorization.

480414330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 480414330 is about 21918.3560058687. The cubic root of 480414330 is about 783.1987477648.

The spelling of 480414330 in words is "four hundred eighty million, four hundred fourteen thousand, three hundred thirty".