461622132 has 48 divisors (see below), whose sum is σ = 1201636800. Its totient is φ = 153252000.

The previous prime is 461622113. The next prime is 461622149. The reversal of 461622132 is 231226164.

461622132 is a `hidden beast` number, since 4 + 6 + 1 + 622 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 461622096 and 461622105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18594 + ... + 35622.

It is an arithmetic number, because the mean of its divisors is an integer number (25034100).

Almost surely, 2^461622132 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 461622132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600818400).

461622132 is an abundant number, since it is smaller than the sum of its proper divisors (740014668).

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

461622132 is a wasteful number, since it uses less digits than its factorization.

461622132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17293 (or 17285 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 461622132 is about 21485.3934569512. The cubic root of 461622132 is about 772.8505864614.

Adding to 461622132 its reverse (231226164), we get a palindrome (692848296).

The spelling of 461622132 in words is "four hundred sixty-one million, six hundred twenty-two thousand, one hundred thirty-two".