480280350 has 96 divisors (see below), whose sum is σ = 1334664576. Its totient is φ = 113270400.

The previous prime is 480280349. The next prime is 480280369. The reversal of 480280350 is 53082084.

It is a super-2 number, since 2×480280350² = 461338429192245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 57117 + ... + 64983.

It is an arithmetic number, because the mean of its divisors is an integer number (13902756).

Almost surely, 2^480280350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480280350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667332288).

480280350 is an abundant number, since it is smaller than the sum of its proper divisors (854384226).

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

480280350 is a wasteful number, since it uses less digits than its factorization.

480280350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 480280350 is about 21915.2994503840. The cubic root of 480280350 is about 783.1259337250.

The spelling of 480280350 in words is "four hundred eighty million, two hundred eighty thousand, three hundred fifty".