484846427590560 has 1152 divisors, whose sum is σ = 1944284487634944. Its totient is φ = 107714469150720.

The previous prime is 484846427590529. The next prime is 484846427590607. The reversal of 484846427590560 is 65095724648484.

484846427590560 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 4 + 6 + 4 + 2 + 7 + 59 + 0 + 560 = 666.

It is a super-2 number, since 2×484846427590560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139846097947 + ... + 139846101413.

It is an arithmetic number, because the mean of its divisors is an integer number (1687746951072).

Almost surely, 2^{484846427590560} is an apocalyptic number.

484846427590560 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 484846427590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972142243817472).

484846427590560 is an abundant number, since it is smaller than the sum of its proper divisors (1459438060044384).

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

484846427590560 is a wasteful number, since it uses less digits than its factorization.

484846427590560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 484846427590560 in words is "four hundred eighty-four trillion, eight hundred forty-six billion, four hundred twenty-seven million, five hundred ninety thousand, five hundred sixty".