461582226 has 80 divisors (see below), whose sum is σ = 1185877440. Its totient is φ = 131453280.

The previous prime is 461582207. The next prime is 461582323. The reversal of 461582226 is 622285164.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 556380 + ... + 557208.

It is an arithmetic number, because the mean of its divisors is an integer number (14823468).

Almost surely, 2^461582226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461582226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592938720).

461582226 is an abundant number, since it is smaller than the sum of its proper divisors (724295214).

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

461582226 is a wasteful number, since it uses less digits than its factorization.

461582226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 461582226 is about 21484.4647594489. The cubic root of 461582226 is about 772.8283155301.

It can be divided in two parts, 46158 and 2226, that added together give a palindrome (48384).

The spelling of 461582226 in words is "four hundred sixty-one million, five hundred eighty-two thousand, two hundred twenty-six".