461863257120 has 768 divisors, whose sum is σ = 1739346739200. Its totient is φ = 115550862336.

The previous prime is 461863257091. The next prime is 461863257197. The reversal of 461863257120 is 21752368164.

461863257120 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 632 + 5 + 7 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 844356687 + ... + 844357233.

It is an arithmetic number, because the mean of its divisors is an integer number (2264774400).

Almost surely, 2^461863257120 is an apocalyptic number.

461863257120 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 461863257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869673369600).

461863257120 is an abundant number, since it is smaller than the sum of its proper divisors (1277483482080).

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

461863257120 is a wasteful number, since it uses less digits than its factorization.

461863257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 461863257120 in words is "four hundred sixty-one billion, eight hundred sixty-three million, two hundred fifty-seven thousand, one hundred twenty".