480958101 has 32 divisors (see below), whose sum is σ = 812488320. Its totient is φ = 278560512.

The previous prime is 480958081. The next prime is 480958109. The reversal of 480958101 is 101859084.

It is not a de Polignac number, because 480958101 - 2¹⁰ = 480957077 is a prime.

It is a super-3 number, since 3×480958101³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480958109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34335 + ... + 46268.

It is an arithmetic number, because the mean of its divisors is an integer number (25390260).

Almost surely, 2^480958101 is an apocalyptic number.

It is an amenable number.

480958101 is a deficient number, since it is larger than the sum of its proper divisors (331530219).

480958101 is a wasteful number, since it uses less digits than its factorization.

480958101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80642 (or 80636 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 480958101 is about 21930.7569636800. The cubic root of 480958101 is about 783.4941318106.

The spelling of 480958101 in words is "four hundred eighty million, nine hundred fifty-eight thousand, one hundred one".