480579252 has 24 divisors (see below), whose sum is σ = 1124159232. Its totient is φ = 159792000.

The previous prime is 480579241. The next prime is 480579259. The reversal of 480579252 is 252975084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480579259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45124 + ... + 54747.

It is an arithmetic number, because the mean of its divisors is an integer number (46839968).

Almost surely, 2^480579252 is an apocalyptic number.

It is an amenable number.

480579252 is an abundant number, since it is smaller than the sum of its proper divisors (643579980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480579252 is a wasteful number, since it uses less digits than its factorization.

480579252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100279 (or 100277 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 480579252 is about 21922.1178721400. The cubic root of 480579252 is about 783.2883592508.

The spelling of 480579252 in words is "four hundred eighty million, five hundred seventy-nine thousand, two hundred fifty-two".