480434220 has 288 divisors, whose sum is σ = 1771176960. Its totient is φ = 107775360.

The previous prime is 480434219. The next prime is 480434221. The reversal of 480434220 is 22434084.

It is a happy number.

480434220 is a `hidden beast` number, since 4 + 8 + 0 + 434 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (480434219) and next prime (480434221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (480434221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1772685 + ... + 1772955.

It is an arithmetic number, because the mean of its divisors is an integer number (6149920).

Almost surely, 2^480434220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885588480).

480434220 is an abundant number, since it is smaller than the sum of its proper divisors (1290742740).

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

480434220 is a wasteful number, since it uses less digits than its factorization.

480434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 480434220 is about 21918.8097304575. The cubic root of 480434220 is about 783.2095562185.

The spelling of 480434220 in words is "four hundred eighty million, four hundred thirty-four thousand, two hundred twenty".