484090986240 has 432 divisors, whose sum is σ = 1776620926080. Its totient is φ = 121355919360.

The previous prime is 484090986217. The next prime is 484090986263. The reversal of 484090986240 is 42689090484.

484090986240 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 9 + 0 + 9 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (484090986217) and next prime (484090986263).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28664839 + ... + 28681721.

It is an arithmetic number, because the mean of its divisors is an integer number (4112548440).

Almost surely, 2^484090986240 is an apocalyptic number.

484090986240 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 484090986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888310463040).

484090986240 is an abundant number, since it is smaller than the sum of its proper divisors (1292529939840).

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

484090986240 is a wasteful number, since it uses less digits than its factorization.

484090986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17060 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 484090986240 in words is "four hundred eighty-four billion, ninety million, nine hundred eighty-six thousand, two hundred forty".