480458999952 has 200 divisors, whose sum is σ = 1406056048320. Its totient is φ = 158380634880.

The previous prime is 480458999929. The next prime is 480458999957. The reversal of 480458999952 is 259999854084.

480458999952 is a `hidden beast` number, since 4 + 80 + 458 + 9 + 9 + 9 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (480458999957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47372802 + ... + 47382942.

Almost surely, 2^480458999952 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 480458999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703028024160).

480458999952 is an abundant number, since it is smaller than the sum of its proper divisors (925597048368).

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

480458999952 is a wasteful number, since it uses less digits than its factorization.

480458999952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10563 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 480458999952 in words is "four hundred eighty billion, four hundred fifty-eight million, nine hundred ninety-nine thousand, nine hundred fifty-two".