480420642 has 64 divisors (see below), whose sum is σ = 1084720896. Its totient is φ = 140743680.

The previous prime is 480420613. The next prime is 480420649. The reversal of 480420642 is 246024084.

It is not an unprimeable number, because it can be changed into a prime (480420649) 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, 503638 + ... + 504590.

It is an arithmetic number, because the mean of its divisors is an integer number (16948764).

Almost surely, 2^480420642 is an apocalyptic number.

It is a pronic number, being equal to 21918×21919.

It is a practical number, because each smaller number is the sum of distinct divisors of 480420642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542360448).

480420642 is an abundant number, since it is smaller than the sum of its proper divisors (604300254).

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

480420642 is a wasteful number, since it uses less digits than its factorization.

480420642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275.

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 480420642 is about 21918.4999942971. The cubic root of 480420642 is about 783.2021778101.

The spelling of 480420642 in words is "four hundred eighty million, four hundred twenty thousand, six hundred forty-two".