461225646 has 192 divisors, whose sum is σ = 1274757120. Its totient is φ = 117573120.

The previous prime is 461225641. The next prime is 461225669. The reversal of 461225646 is 646522164.

461225646 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 2 + 5 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 461225646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461225641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3631635 + ... + 3631761.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2^461225646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461225646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637378560).

461225646 is an abundant number, since it is smaller than the sum of its proper divisors (813531474).

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

461225646 is a wasteful number, since it uses less digits than its factorization.

461225646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 236 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 461225646 is about 21476.1646017160. The cubic root of 461225646 is about 772.6292566570.

The spelling of 461225646 in words is "four hundred sixty-one million, two hundred twenty-five thousand, six hundred forty-six".