480050900 has 72 divisors (see below), whose sum is σ = 1193465280. Its totient is φ = 164183040.

The previous prime is 480050887. The next prime is 480050911. The reversal of 480050900 is 9050084.

It is a self number, because there is not a number n which added to its sum of digits gives 480050900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470591 + ... + 471609.

Almost surely, 2^480050900 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 480050900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596732640).

480050900 is an abundant number, since it is smaller than the sum of its proper divisors (713414380).

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

480050900 is a wasteful number, since it uses less digits than its factorization.

480050900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 480050900 is about 21910.0638976704. The cubic root of 480050900 is about 783.0012031949.

The spelling of 480050900 in words is "four hundred eighty million, fifty thousand, nine hundred".