461752192 has 128 divisors (see below), whose sum is σ = 1057536000. Its totient is φ = 198912000.

The previous prime is 461752183. The next prime is 461752217. The reversal of 461752192 is 291257164.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 3098934 + ... + 3099082.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^461752192 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 461752192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

461752192 is an abundant number, since it is smaller than the sum of its proper divisors (595783808).

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

461752192 is a wasteful number, since it uses less digits than its factorization.

461752192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 461752192 is about 21488.4199512202. The cubic root of 461752192 is about 772.9231620607.

The spelling of 461752192 in words is "four hundred sixty-one million, seven hundred fifty-two thousand, one hundred ninety-two".