480812431 has 16 divisors (see below), whose sum is σ = 551527200. Its totient is φ = 415094400.

The previous prime is 480812399. The next prime is 480812467. The reversal of 480812431 is 134218084.

It is not a de Polignac number, because 480812431 - 2⁵ = 480812399 is a prime.

It is a super-3 number, since 3×480812431³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480812393 and 480812402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480812471) 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, 7105 + ... + 31813.

It is an arithmetic number, because the mean of its divisors is an integer number (34470450).

Almost surely, 2^480812431 is an apocalyptic number.

480812431 is a deficient number, since it is larger than the sum of its proper divisors (70714769).

480812431 is a wasteful number, since it uses less digits than its factorization.

480812431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24810.

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 480812431 is about 21927.4355773766. The cubic root of 480812431 is about 783.4150236621.

The spelling of 480812431 in words is "four hundred eighty million, eight hundred twelve thousand, four hundred thirty-one".