461430034164 has 72 divisors (see below), whose sum is σ = 1272628925568. Its totient is φ = 139805233920.

The previous prime is 461430034103. The next prime is 461430034201.

461430034164 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 300 + 341 + 6 + 4 = 666.

461430034164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2515909 + ... + 2693075.

It is an arithmetic number, because the mean of its divisors is an integer number (17675401744).

Almost surely, 2^461430034164 is an apocalyptic number.

461430034164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461430034164 is an abundant number, since it is smaller than the sum of its proper divisors (811198891404).

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

461430034164 is a wasteful number, since it uses less digits than its factorization.

461430034164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183765 (or 183760 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 4614300 and 34164, that added together give a palindrome (4648464).

The spelling of 461430034164 in words is "four hundred sixty-one billion, four hundred thirty million, thirty-four thousand, one hundred sixty-four".