480437001 has 24 divisors (see below), whose sum is σ = 785095584. Its totient is φ = 291172320.

The previous prime is 480436987. The next prime is 480437029. The reversal of 480437001 is 100734084.

It is not a de Polignac number, because 480437001 - 2⁵ = 480436969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (480433001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87196 + ... + 92541.

It is an arithmetic number, because the mean of its divisors is an integer number (32712316).

Almost surely, 2^480437001 is an apocalyptic number.

It is an amenable number.

480437001 is a deficient number, since it is larger than the sum of its proper divisors (304658583).

480437001 is a wasteful number, since it uses less digits than its factorization.

480437001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179763 (or 179751 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 480437001 is about 21918.8731690295. The cubic root of 480437001 is about 783.2110674219.

The spelling of 480437001 in words is "four hundred eighty million, four hundred thirty-seven thousand, one".