480834640 has 120 divisors (see below), whose sum is σ = 1323680904. Its totient is φ = 161356800.

The previous prime is 480834631. The next prime is 480834659. The reversal of 480834640 is 46438084.

It can be written as a sum of positive squares in 4 ways, for example, as 58614336 + 422220304 = 7656^2 + 20548^2 .

It is a super-3 number, since 3×480834640³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480834640.

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 23 ways as a sum of consecutive naturals, for example, 123930 + ... + 127750.

Almost surely, 2^480834640 is an apocalyptic number.

480834640 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 480834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661840452).

480834640 is an abundant number, since it is smaller than the sum of its proper divisors (842846264).

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

480834640 is a wasteful number, since it uses less digits than its factorization.

480834640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 480834640 is about 21927.9419918970. The cubic root of 480834640 is about 783.4270856050.

The spelling of 480834640 in words is "four hundred eighty million, eight hundred thirty-four thousand, six hundred forty".