461644224 has 112 divisors (see below), whose sum is σ = 1287767808. Its totient is φ = 145666048.

The previous prime is 461644223. The next prime is 461644237. The reversal of 461644224 is 422446164.

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 (461644223) 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, 472024 + ... + 473000.

Almost surely, 2^461644224 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 461644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643883904).

461644224 is an abundant number, since it is smaller than the sum of its proper divisors (826123584).

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

461644224 is a wasteful number, since it uses less digits than its factorization.

461644224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1112 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 461644224 is about 21485.9075675197. The cubic root of 461644224 is about 772.8629151184.

The spelling of 461644224 in words is "four hundred sixty-one million, six hundred forty-four thousand, two hundred twenty-four".