480806040 has 128 divisors (see below), whose sum is σ = 1694649600. Its totient is φ = 107589120.

The previous prime is 480806033. The next prime is 480806059. The reversal of 480806040 is 40608084.

It is a super-3 number, since 3×480806040³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 480805989 and 480806007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3151 + ... + 31169.

It is an arithmetic number, because the mean of its divisors is an integer number (13239450).

Almost surely, 2^480806040 is an apocalyptic number.

480806040 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 480806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847324800).

480806040 is an abundant number, since it is smaller than the sum of its proper divisors (1213843560).

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

480806040 is a wasteful number, since it uses less digits than its factorization.

480806040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28057 (or 28053 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 480806040 is about 21927.2898462167. The cubic root of 480806040 is about 783.4115525735.

The spelling of 480806040 in words is "four hundred eighty million, eight hundred six thousand, forty".