480492078192 has 160 divisors (see below), whose sum is σ = 1576844789760. Its totient is φ = 137228808960.

The previous prime is 480492078169. The next prime is 480492078223. The reversal of 480492078192 is 291870294084.

480492078192 is a `hidden beast` number, since 4 + 80 + 492 + 0 + 78 + 1 + 9 + 2 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7895593 + ... + 7956215.

It is an arithmetic number, because the mean of its divisors is an integer number (9855279936).

Almost surely, 2^480492078192 is an apocalyptic number.

480492078192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480492078192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788422394880).

480492078192 is an abundant number, since it is smaller than the sum of its proper divisors (1096352711568).

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

480492078192 is a wasteful number, since it uses less digits than its factorization.

480492078192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63268 (or 63256 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 480492078192 in words is "four hundred eighty billion, four hundred ninety-two million, seventy-eight thousand, one hundred ninety-two".