461221424 has 40 divisors (see below), whose sum is σ = 951568560. Its totient is φ = 215810048.

The previous prime is 461221399. The next prime is 461221433. The reversal of 461221424 is 424122164.

It is a junction number, because it is equal to n+sod(n) for n = 461221393 and 461221402.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43952 + ... + 53424.

It is an arithmetic number, because the mean of its divisors is an integer number (23789214).

Almost surely, 2^461221424 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 461221424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475784280).

461221424 is an abundant number, since it is smaller than the sum of its proper divisors (490347136).

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

461221424 is a wasteful number, since it uses less digits than its factorization.

461221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9677 (or 9671 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 461221424 is about 21476.0663064724. The cubic root of 461221424 is about 772.6268991336.

Adding to 461221424 its reverse (424122164), we get a palindrome (885343588).

The spelling of 461221424 in words is "four hundred sixty-one million, two hundred twenty-one thousand, four hundred twenty-four".