461440530432 has 672 divisors, whose sum is σ = 1607003798400. Its totient is φ = 129675313152.

The previous prime is 461440530389. The next prime is 461440530443. The reversal of 461440530432 is 234035044164.

461440530432 is a `hidden beast` number, since 4 + 614 + 4 + 0 + 5 + 3 + 0 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 700212919 + ... + 700213577.

It is an arithmetic number, because the mean of its divisors is an integer number (2391374700).

Almost surely, 2^461440530432 is an apocalyptic number.

461440530432 is a gapful number since it is divisible by the number (42) 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 461440530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803501899200).

461440530432 is an abundant number, since it is smaller than the sum of its proper divisors (1145563267968).

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

461440530432 is an frugal number, since it uses more digits than its factorization.

461440530432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 461440530432 its reverse (234035044164), we get a palindrome (695475574596).

The spelling of 461440530432 in words is "four hundred sixty-one billion, four hundred forty million, five hundred thirty thousand, four hundred thirty-two".