480879607032 has 256 divisors, whose sum is σ = 1515093926400. Its totient is φ = 141780585600.

The previous prime is 480879607027. The next prime is 480879607097. The reversal of 480879607032 is 230706978084.

480879607032 is a `hidden beast` number, since 480 + 8 + 7 + 9 + 60 + 70 + 32 = 666.

It is a super-3 number, since 3×480879607032³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 480879607032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7087107 + ... + 7154637.

It is an arithmetic number, because the mean of its divisors is an integer number (5918335650).

Almost surely, 2^480879607032 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 480879607032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757546963200).

480879607032 is an abundant number, since it is smaller than the sum of its proper divisors (1034214319368).

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

480879607032 is a wasteful number, since it uses less digits than its factorization.

480879607032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67606 (or 67584 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 480879607032 in words is "four hundred eighty billion, eight hundred seventy-nine million, six hundred seven thousand, thirty-two".