480968761 has 27 divisors (see below), whose sum is σ = 608367213. Its totient is φ = 378967680.

The previous prime is 480968753. The next prime is 480968771. The reversal of 480968761 is 167869084.

The square root of 480968761 is 21931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7645225 + 473323536 = 2765^2 + 21756^2 .

It is not a de Polignac number, because 480968761 - 2³ = 480968753 is a prime.

It is a super-3 number, since 3×480968761³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480968701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1995601 + ... + 1995841.

It is an arithmetic number, because the mean of its divisors is an integer number (22532119).

Almost surely, 2^480968761 is an apocalyptic number.

480968761 is the 21931-st square number.

480968761 is the 10966-th centered octagonal number.

It is an amenable number.

480968761 is a deficient number, since it is larger than the sum of its proper divisors (127398452).

480968761 is an equidigital number, since it uses as much as digits as its factorization.

480968761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The cubic root of 480968761 is about 783.4999202467.

Multiplying 480968761 by its sum of digits (49), we get a square (23567469289 = 153517²).

480968761 divided by its sum of digits (49) gives a square (9815689 = 3133²).

The spelling of 480968761 in words is "four hundred eighty million, nine hundred sixty-eight thousand, seven hundred sixty-one".