461849904 has 80 divisors (see below), whose sum is σ = 1368483840. Its totient is φ = 148979520.

The previous prime is 461849881. The next prime is 461849909. The reversal of 461849904 is 409948164.

It is a self number, because there is not a number n which added to its sum of digits gives 461849904.

It is not an unprimeable number, because it can be changed into a prime (461849909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3852 + ... + 30635.

It is an arithmetic number, because the mean of its divisors is an integer number (17106048).

Almost surely, 2^461849904 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 461849904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684241920).

461849904 is an abundant number, since it is smaller than the sum of its proper divisors (906633936).

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

461849904 is a wasteful number, since it uses less digits than its factorization.

461849904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34535 (or 34523 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 461849904 is about 21490.6934276212. The cubic root of 461849904 is about 772.9776779841.

The spelling of 461849904 in words is "four hundred sixty-one million, eight hundred forty-nine thousand, nine hundred four".