480368070 has 400 divisors, whose sum is σ = 1708161840. Its totient is φ = 96018048.

The previous prime is 480368069. The next prime is 480368071. The reversal of 480368070 is 70863084.

480368070 is a `hidden beast` number, since 480 + 36 + 80 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (480368069) and next prime (480368071).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480368071) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 25282521 + ... + 25282539.

Almost surely, 2^480368070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480368070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854080920).

480368070 is an abundant number, since it is smaller than the sum of its proper divisors (1227793770).

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

480368070 is a wasteful number, since it uses less digits than its factorization.

480368070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480368070 is about 21917.3007005881. The cubic root of 480368070 is about 783.1736083974.

The spelling of 480368070 in words is "four hundred eighty million, three hundred sixty-eight thousand, seventy".