461693232 has 240 divisors, whose sum is σ = 1735388928. Its totient is φ = 110661120.

The previous prime is 461693209. The next prime is 461693299. The reversal of 461693232 is 232396164.

461693232 is a `hidden beast` number, since 4 + 616 + 9 + 3 + 2 + 32 = 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142543 + ... + 145745.

Almost surely, 2^461693232 is an apocalyptic number.

461693232 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 461693232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867694464).

461693232 is an abundant number, since it is smaller than the sum of its proper divisors (1273695696).

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

461693232 is a wasteful number, since it uses less digits than its factorization.

461693232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3239 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 461693232 is about 21487.0480057173. The cubic root of 461693232 is about 772.8902631088.

The spelling of 461693232 in words is "four hundred sixty-one million, six hundred ninety-three thousand, two hundred thirty-two".