480891840 has 448 divisors, whose sum is σ = 1868009472. Its totient is φ = 103219200.

The previous prime is 480891823. The next prime is 480891847. The reversal of 480891840 is 48198084.

It is a super-3 number, since 3×480891840³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480891792 and 480891801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480891847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255624 + ... + 4255736.

It is an arithmetic number, because the mean of its divisors is an integer number (4169664).

Almost surely, 2^480891840 is an apocalyptic number.

480891840 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 480891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934004736).

480891840 is an abundant number, since it is smaller than the sum of its proper divisors (1387117632).

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

480891840 is a wasteful number, since it uses less digits than its factorization.

480891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 480891840 is about 21929.2462250758. The cubic root of 480891840 is about 783.4581498204.

The spelling of 480891840 in words is "four hundred eighty million, eight hundred ninety-one thousand, eight hundred forty".