461816832 has 176 divisors, whose sum is σ = 1344142080. Its totient is φ = 140378112.

The previous prime is 461816821. The next prime is 461816837. The reversal of 461816832 is 238618164.

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

It is not an unprimeable number, because it can be changed into a prime (461816837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1932169 + ... + 1932407.

Almost surely, 2^461816832 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 461816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672071040).

461816832 is an abundant number, since it is smaller than the sum of its proper divisors (882325248).

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

461816832 is a wasteful number, since it uses less digits than its factorization.

461816832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 461816832 is about 21489.9239645002. The cubic root of 461816832 is about 772.9592271644.

The spelling of 461816832 in words is "four hundred sixty-one million, eight hundred sixteen thousand, eight hundred thirty-two".