461132784 has 160 divisors (see below), whose sum is σ = 1527680000. Its totient is φ = 130450176.

The previous prime is 461132783. The next prime is 461132797. The reversal of 461132784 is 487231164.

461132784 is a `hidden beast` number, since 4 + 611 + 32 + 7 + 8 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461132783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328917 + ... + 330315.

It is an arithmetic number, because the mean of its divisors is an integer number (9548000).

Almost surely, 2^461132784 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 461132784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763840000).

461132784 is an abundant number, since it is smaller than the sum of its proper divisors (1066547216).

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

461132784 is a wasteful number, since it uses less digits than its factorization.

461132784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1520 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 461132784 is about 21474.0025146688. The cubic root of 461132784 is about 772.5774001059.

The spelling of 461132784 in words is "four hundred sixty-one million, one hundred thirty-two thousand, seven hundred eighty-four".