480370176 has 360 divisors, whose sum is σ = 1691313624. Its totient is φ = 134369280.

The previous prime is 480370171. The next prime is 480370201. The reversal of 480370176 is 671073084.

480370176 is a `hidden beast` number, since 480 + 3 + 7 + 0 + 176 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480370176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480370171) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36951546 + ... + 36951558.

Almost surely, 2^480370176 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 480370176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845656812).

480370176 is an abundant number, since it is smaller than the sum of its proper divisors (1210943448).

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

480370176 is an frugal number, since it uses more digits than its factorization.

480370176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 480370176 is about 21917.3487447729. The cubic root of 480370176 is about 783.1747529095.

The spelling of 480370176 in words is "four hundred eighty million, three hundred seventy thousand, one hundred seventy-six".