480962001 has 24 divisors (see below), whose sum is σ = 713202240. Its totient is φ = 287966016.

The previous prime is 480961997. The next prime is 480962077. The reversal of 480962001 is 100269084.

It is not a de Polignac number, because 480962001 - 2² = 480961997 is a prime.

It is a super-3 number, since 3×480962001³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480962001.

It is not an unprimeable number, because it can be changed into a prime (480962401) 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, 5940 + ... + 31578.

It is an arithmetic number, because the mean of its divisors is an integer number (29716760).

Almost surely, 2^480962001 is an apocalyptic number.

It is an amenable number.

480962001 is a deficient number, since it is larger than the sum of its proper divisors (232240239).

480962001 is a wasteful number, since it uses less digits than its factorization.

480962001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25705 (or 25692 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 480962001 is about 21930.8458797193. The cubic root of 480962001 is about 783.4962495410.

The spelling of 480962001 in words is "four hundred eighty million, nine hundred sixty-two thousand, one".