461352 has 32 divisors (see below), whose sum is σ = 1180800. Its totient is φ = 150144.

The previous prime is 461333. The next prime is 461359. The reversal of 461352 is 253164.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (461359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2⁴⁶¹³⁵² 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 461352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590400).

461352 is an abundant number, since it is smaller than the sum of its proper divisors (719448).

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

461352 is a wasteful number, since it uses less digits than its factorization.

461352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 461352 is about 679.2289746470. The cubic root of 461352 is about 77.2699804833.

The spelling of 461352 in words is "four hundred sixty-one thousand, three hundred fifty-two".