480400740180 has 72 divisors (see below), whose sum is σ = 1457390817792. Its totient is φ = 128091458496.

The previous prime is 480400740151. The next prime is 480400740199. The reversal of 480400740180 is 81047004084.

It is a happy number.

480400740180 is a `hidden beast` number, since 4 + 8 + 0 + 400 + 74 + 0 + 180 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1381537 + ... + 1693943.

It is an arithmetic number, because the mean of its divisors is an integer number (20241539136).

Almost surely, 2^480400740180 is an apocalyptic number.

It is an amenable number.

480400740180 is an abundant number, since it is smaller than the sum of its proper divisors (976990077612).

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

480400740180 is a wasteful number, since it uses less digits than its factorization.

480400740180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320965 (or 320960 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 480400740180 in words is "four hundred eighty billion, four hundred million, seven hundred forty thousand, one hundred eighty".