461849814560 has 96 divisors (see below), whose sum is σ = 1139089029120. Its totient is φ = 176625681408.

The previous prime is 461849814557. The next prime is 461849814599. The reversal of 461849814560 is 65418948164.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 461849814496 and 461849814505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8211494 + ... + 8267546.

It is an arithmetic number, because the mean of its divisors is an integer number (11865510720).

Almost surely, 2^461849814560 is an apocalyptic number.

461849814560 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 461849814560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569544514560).

461849814560 is an abundant number, since it is smaller than the sum of its proper divisors (677239214560).

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

461849814560 is a wasteful number, since it uses less digits than its factorization.

461849814560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58330 (or 58322 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 461849814560 in words is "four hundred sixty-one billion, eight hundred forty-nine million, eight hundred fourteen thousand, five hundred sixty".