480806007 has 16 divisors (see below), whose sum is σ = 729762048. Its totient is φ = 278727680.

The previous prime is 480805991. The next prime is 480806017. The reversal of 480806007 is 700608084.

It is not a de Polignac number, because 480806007 - 2⁴ = 480805991 is a prime.

It is a super-3 number, since 3×480806007³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480806017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315978 + ... + 317495.

It is an arithmetic number, because the mean of its divisors is an integer number (45610128).

Almost surely, 2^480806007 is an apocalyptic number.

480806007 is a deficient number, since it is larger than the sum of its proper divisors (248956041).

480806007 is a wasteful number, since it uses less digits than its factorization.

480806007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633510.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 480806007 is about 21927.2890937298. The cubic root of 480806007 is about 783.4115346504.

The spelling of 480806007 in words is "four hundred eighty million, eight hundred six thousand, seven".