480374813610 has 96 divisors (see below), whose sum is σ = 1258910864640. Its totient is φ = 127081468800.

The previous prime is 480374813563. The next prime is 480374813623. The reversal of 480374813610 is 16318473084.

480374813610 is a `hidden beast` number, since 4 + 80 + 37 + 481 + 3 + 61 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61669596 + ... + 61677384.

It is an arithmetic number, because the mean of its divisors is an integer number (13113654840).

Almost surely, 2^480374813610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480374813610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629455432320).

480374813610 is an abundant number, since it is smaller than the sum of its proper divisors (778536051030).

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

480374813610 is a wasteful number, since it uses less digits than its factorization.

480374813610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13161 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 480374813610 in words is "four hundred eighty billion, three hundred seventy-four million, eight hundred thirteen thousand, six hundred ten".