480116070 has 192 divisors, whose sum is σ = 1502392320. Its totient is φ = 104073984.

The previous prime is 480116059. The next prime is 480116081. The reversal of 480116070 is 70611084.

It is a happy number.

480116070 is a `hidden beast` number, since 48 + 0 + 11 + 607 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (480116059) and next prime (480116081).

It is a super-2 number, since 2×480116070² = 461022881344489800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002091 + ... + 1002569.

It is an arithmetic number, because the mean of its divisors is an integer number (7824960).

Almost surely, 2^480116070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480116070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751196160).

480116070 is an abundant number, since it is smaller than the sum of its proper divisors (1022276250).

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

480116070 is a wasteful number, since it uses less digits than its factorization.

480116070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 480116070 is about 21911.5510633091. The cubic root of 480116070 is about 783.0366340762.

The spelling of 480116070 in words is "four hundred eighty million, one hundred sixteen thousand, seventy".