480794958 has 72 divisors (see below), whose sum is σ = 1215625320. Its totient is φ = 136936800.

The previous prime is 480794917. The next prime is 480794971. The reversal of 480794958 is 859497084.

480794958 is a `hidden beast` number, since 4 + 80 + 79 + 495 + 8 = 666.

It is a super-3 number, since 3×480794958³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 368908 + ... + 370208.

It is an arithmetic number, because the mean of its divisors is an integer number (16883685).

Almost surely, 2^480794958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480794958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607812660).

480794958 is an abundant number, since it is smaller than the sum of its proper divisors (734830362).

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

480794958 is a wasteful number, since it uses less digits than its factorization.

480794958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 480794958 is about 21927.0371459529. The cubic root of 480794958 is about 783.4055336297.

The spelling of 480794958 in words is "four hundred eighty million, seven hundred ninety-four thousand, nine hundred fifty-eight".