480955104 has 192 divisors, whose sum is σ = 1614574080. Its totient is φ = 136442880.

The previous prime is 480955099. The next prime is 480955117. The reversal of 480955104 is 401559084.

It is a super-3 number, since 3×480955104³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1699347 + ... + 1699629.

It is an arithmetic number, because the mean of its divisors is an integer number (8409240).

Almost surely, 2^480955104 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 480955104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807287040).

480955104 is an abundant number, since it is smaller than the sum of its proper divisors (1133618976).

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

480955104 is a wasteful number, since it uses less digits than its factorization.

480955104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 480955104 is about 21930.6886348788. The cubic root of 480955104 is about 783.4925044084.

The spelling of 480955104 in words is "four hundred eighty million, nine hundred fifty-five thousand, one hundred four".