461115846520 has 192 divisors, whose sum is σ = 1345153716000. Its totient is φ = 140965429248.

The previous prime is 461115846511. The next prime is 461115846589. The reversal of 461115846520 is 25648511164.

It is a super-2 number, since 2×461115846520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268896 + ... + 997264.

Almost surely, 2^461115846520 is an apocalyptic number.

461115846520 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 461115846520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672576858000).

461115846520 is an abundant number, since it is smaller than the sum of its proper divisors (884037869480).

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

461115846520 is a wasteful number, since it uses less digits than its factorization.

461115846520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728430 (or 728419 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 461115846520 in words is "four hundred sixty-one billion, one hundred fifteen million, eight hundred forty-six thousand, five hundred twenty".