461133952 has 64 divisors (see below), whose sum is σ = 975283200. Its totient is φ = 216566784.

The previous prime is 461133949. The next prime is 461133961. The reversal of 461133952 is 259331164.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 308118 + ... + 309610.

It is an arithmetic number, because the mean of its divisors is an integer number (15238800).

Almost surely, 2^461133952 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 461133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487641600).

461133952 is an abundant number, since it is smaller than the sum of its proper divisors (514149248).

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

461133952 is a wasteful number, since it uses less digits than its factorization.

461133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1641 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 461133952 is about 21474.0297103268. The cubic root of 461133952 is about 772.5780523907.

The spelling of 461133952 in words is "four hundred sixty-one million, one hundred thirty-three thousand, nine hundred fifty-two".