480209352 has 128 divisors (see below), whose sum is σ = 1406730240. Its totient is φ = 133781760.

The previous prime is 480209351. The next prime is 480209357. The reversal of 480209352 is 253902084.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (480209351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1514698 + ... + 1515014.

It is an arithmetic number, because the mean of its divisors is an integer number (10990080).

Almost surely, 2^480209352 is an apocalyptic number.

480209352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480209352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703365120).

480209352 is an abundant number, since it is smaller than the sum of its proper divisors (926520888).

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

480209352 is a wasteful number, since it uses less digits than its factorization.

480209352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 480209352 is about 21913.6795632317. The cubic root of 480209352 is about 783.0873429901.

The spelling of 480209352 in words is "four hundred eighty million, two hundred nine thousand, three hundred fifty-two".