480381733 has 16 divisors (see below), whose sum is σ = 553437360. Its totient is φ = 413024256.

The previous prime is 480381721. The next prime is 480381751. The reversal of 480381733 is 337183084.

It can be written as a sum of positive squares in 8 ways, for example, as 859329 + 479522404 = 927^2 + 21898^2 .

It is a cyclic number.

It is not a de Polignac number, because 480381733 - 2²⁵ = 446827301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480381692 and 480381701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480381793) 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, 10233 + ... + 32641.

It is an arithmetic number, because the mean of its divisors is an integer number (34589835).

Almost surely, 2^480381733 is an apocalyptic number.

It is an amenable number.

480381733 is a deficient number, since it is larger than the sum of its proper divisors (73055627).

480381733 is a wasteful number, since it uses less digits than its factorization.

480381733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22536.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 480381733 is about 21917.6123927767. The cubic root of 480381733 is about 783.1810335367.

The spelling of 480381733 in words is "four hundred eighty million, three hundred eighty-one thousand, seven hundred thirty-three".