480089955840 has 320 divisors, whose sum is σ = 1689164243712. Its totient is φ = 115353190400.

The previous prime is 480089955721. The next prime is 480089955841. The reversal of 480089955840 is 48559980084.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480089955841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9521095 + ... + 9571385.

Almost surely, 2^480089955840 is an apocalyptic number.

480089955840 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 480089955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844582121856).

480089955840 is an abundant number, since it is smaller than the sum of its proper divisors (1209074287872).

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

480089955840 is a wasteful number, since it uses less digits than its factorization.

480089955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50441 (or 50425 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 480089955840 in words is "four hundred eighty billion, eighty-nine million, nine hundred fifty-five thousand, eight hundred forty".