461341888 has 112 divisors (see below), whose sum is σ = 1116299520. Its totient is φ = 184771584.

The previous prime is 461341877. The next prime is 461341901. The reversal of 461341888 is 888143164.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706170 + ... + 706822.

It is an arithmetic number, because the mean of its divisors is an integer number (9966960).

Almost surely, 2^461341888 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 461341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558149760).

461341888 is an abundant number, since it is smaller than the sum of its proper divisors (654957632).

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

461341888 is a wasteful number, since it uses less digits than its factorization.

461341888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 461341888 is about 21478.8707338165. The cubic root of 461341888 is about 772.6941593981.

The spelling of 461341888 in words is "four hundred sixty-one million, three hundred forty-one thousand, eight hundred eighty-eight".