480862980 has 336 divisors, whose sum is σ = 1696685760. Its totient is φ = 113654016.

The previous prime is 480862961. The next prime is 480862997. The reversal of 480862980 is 89268084.

It is a happy number.

480862980 is a `hidden beast` number, since 480 + 86 + 2 + 98 + 0 = 666.

It is a super-3 number, since 3×480862980³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8150191 + ... + 8150249.

It is an arithmetic number, because the mean of its divisors is an integer number (5049660).

Almost surely, 2^480862980 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 480862980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848342880).

480862980 is an abundant number, since it is smaller than the sum of its proper divisors (1215822780).

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

480862980 is a wasteful number, since it uses less digits than its factorization.

480862980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 480862980 is about 21928.5881898493. The cubic root of 480862980 is about 783.4424768197.

The spelling of 480862980 in words is "four hundred eighty million, eight hundred sixty-two thousand, nine hundred eighty".