480100128 has 48 divisors (see below), whose sum is σ = 1334400480. Its totient is φ = 150619136.

The previous prime is 480100109. The next prime is 480100139. The reversal of 480100128 is 821001084.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×480100128² = 460992265811232768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 480100098 and 480100107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145458 + ... + 148721.

It is an arithmetic number, because the mean of its divisors is an integer number (27800010).

Almost surely, 2^480100128 is an apocalyptic number.

480100128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480100128 is an abundant number, since it is smaller than the sum of its proper divisors (854300352).

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

480100128 is a wasteful number, since it uses less digits than its factorization.

480100128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294209 (or 294201 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 480100128 is about 21911.1872795611. The cubic root of 480100128 is about 783.0279672080.

The spelling of 480100128 in words is "four hundred eighty million, one hundred thousand, one hundred twenty-eight".