461728984992 has 96 divisors (see below), whose sum is σ = 1323432540864. Its totient is φ = 139789977600.

The previous prime is 461728984963. The next prime is 461728985021. The reversal of 461728984992 is 299489827164.

It is an interprime number because it is at equal distance from previous prime (461728984963) and next prime (461728985021).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×461728984992² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959142 + ... + 1357722.

It is an arithmetic number, because the mean of its divisors is an integer number (13785755634).

Almost surely, 2^461728984992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461728984992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661716270432).

461728984992 is an abundant number, since it is smaller than the sum of its proper divisors (861703555872).

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

461728984992 is a wasteful number, since it uses less digits than its factorization.

461728984992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399702 (or 399694 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 69.

The spelling of 461728984992 in words is "four hundred sixty-one billion, seven hundred twenty-eight million, nine hundred eighty-four thousand, nine hundred ninety-two".