480792007 has 2 divisors, whose sum is σ = 480792008. Its totient is φ = 480792006.

The previous prime is 480791959. The next prime is 480792019. The reversal of 480792007 is 700297084.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 480792007 - 2⁷ = 480791879 is a prime.

It is a super-3 number, since 3×480792007³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480792077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240396003 + 240396004.

It is an arithmetic number, because the mean of its divisors is an integer number (240396004).

Almost surely, 2^480792007 is an apocalyptic number.

480792007 is a deficient number, since it is larger than the sum of its proper divisors (1).

480792007 is an equidigital number, since it uses as much as digits as its factorization.

480792007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 480792007 is about 21926.9698544965. The cubic root of 480792007 is about 783.4039308436.

It can be divided in two parts, 48079 and 2007, that added together give a triangular number (50086 = T₃₁₆).

The spelling of 480792007 in words is "four hundred eighty million, seven hundred ninety-two thousand, seven".