480790307007 has 24 divisors (see below), whose sum is σ = 699062844480. Its totient is φ = 318415864320.

The previous prime is 480790306999. The next prime is 480790307027. The reversal of 480790307007 is 700703097084.

480790307007 is a `hidden beast` number, since 480 + 79 + 0 + 30 + 70 + 0 + 7 = 666.

It is not a de Polignac number, because 480790307007 - 2³ = 480790306999 is a prime.

It is a super-3 number, since 3×480790307007³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480790307027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616138 + ... + 1158104.

It is an arithmetic number, because the mean of its divisors is an integer number (29127618520).

Almost surely, 2^480790307007 is an apocalyptic number.

480790307007 is a deficient number, since it is larger than the sum of its proper divisors (218272537473).

480790307007 is a wasteful number, since it uses less digits than its factorization.

480790307007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542623 (or 542620 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 480790307007 in words is "four hundred eighty billion, seven hundred ninety million, three hundred seven thousand, seven".