480107642 has 48 divisors (see below), whose sum is σ = 893011392. Its totient is φ = 188979840.

The previous prime is 480107629. The next prime is 480107647. The reversal of 480107642 is 246701084.

It is a junction number, because it is equal to n+sod(n) for n = 480107599 and 480107608.

It is not an unprimeable number, because it can be changed into a prime (480107647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439517 + ... + 440607.

It is an arithmetic number, because the mean of its divisors is an integer number (18604404).

Almost surely, 2^480107642 is an apocalyptic number.

480107642 is a deficient number, since it is larger than the sum of its proper divisors (412903750).

480107642 is a wasteful number, since it uses less digits than its factorization.

480107642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 480107642 is about 21911.3587438114. The cubic root of 480107642 is about 783.0320522179.

The spelling of 480107642 in words is "four hundred eighty million, one hundred seven thousand, six hundred forty-two".