461531232 has 144 divisors (see below), whose sum is σ = 1404263952. Its totient is φ = 143278080.

The previous prime is 461531207. The next prime is 461531233. The reversal of 461531232 is 232135164.

461531232 is a `hidden beast` number, since 4 + 615 + 3 + 12 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×461531232² = 426022156222875648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461531196 and 461531205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461531233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523432 + ... + 524312.

It is an arithmetic number, because the mean of its divisors is an integer number (9751833).

Almost surely, 2^461531232 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 461531232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702131976).

461531232 is an abundant number, since it is smaller than the sum of its proper divisors (942732720).

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

461531232 is a wasteful number, since it uses less digits than its factorization.

461531232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1010 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 461531232 is about 21483.2779621733. The cubic root of 461531232 is about 772.7998546866.

Adding to 461531232 its reverse (232135164), we get a palindrome (693666396).

The spelling of 461531232 in words is "four hundred sixty-one million, five hundred thirty-one thousand, two hundred thirty-two".