480103680 has 288 divisors, whose sum is σ = 1790740224. Its totient is φ = 107347968.

The previous prime is 480103669. The next prime is 480103691. The reversal of 480103680 is 86301084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480103669) and next prime (480103691).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1424472 + ... + 1424808.

It is an arithmetic number, because the mean of its divisors is an integer number (6217848).

Almost surely, 2^480103680 is an apocalyptic number.

480103680 is a gapful number since it is divisible by the number (40) 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 480103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895370112).

480103680 is an abundant number, since it is smaller than the sum of its proper divisors (1310636544).

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

480103680 is a wasteful number, since it uses less digits than its factorization.

480103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 480103680 is about 21911.2683338961. The cubic root of 480103680 is about 783.0298982694.

The spelling of 480103680 in words is "four hundred eighty million, one hundred three thousand, six hundred eighty".