461132000 has 192 divisors, whose sum is σ = 1328431104. Its totient is φ = 154022400.

The previous prime is 461131997. The next prime is 461132003. The reversal of 461132000 is 231164.

It is an interprime number because it is at equal distance from previous prime (461131997) and next prime (461132003).

It is a self number, because there is not a number n which added to its sum of digits gives 461132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203809 + ... + 1204191.

It is an arithmetic number, because the mean of its divisors is an integer number (6918912).

Almost surely, 2^461132000 is an apocalyptic number.

461132000 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 461132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664215552).

461132000 is an abundant number, since it is smaller than the sum of its proper divisors (867299104).

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

461132000 is a wasteful number, since it uses less digits than its factorization.

461132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 461132000 is about 21473.9842600296. The cubic root of 461132000 is about 772.5769622704.

Adding to 461132000 its reverse (231164), we get a palindrome (461363164).

The spelling of 461132000 in words is "four hundred sixty-one million, one hundred thirty-two thousand".