480789824 has 28 divisors (see below), whose sum is σ = 955025268. Its totient is φ = 240153600.

The previous prime is 480789823. The next prime is 480789833. The reversal of 480789824 is 428987084.

It can be written as a sum of positive squares in 2 ways, for example, as 294740224 + 186049600 = 17168^2 + 13640^2 .

It is a super-3 number, since 3×480789824³ (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 (480789823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72404 + ... + 78764.

Almost surely, 2^480789824 is an apocalyptic number.

It is an amenable number.

480789824 is a deficient number, since it is larger than the sum of its proper divisors (474235444).

480789824 is a wasteful number, since it uses less digits than its factorization.

480789824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The square root of 480789824 is about 21926.9200755601. The cubic root of 480789824 is about 783.4027451796.

The spelling of 480789824 in words is "four hundred eighty million, seven hundred eighty-nine thousand, eight hundred twenty-four".