460360 has 32 divisors (see below), whose sum is σ = 1098360. Its totient is φ = 173056.

The previous prime is 460349. The next prime is 460373. The reversal of 460360 is 63064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 459684 + 676 = 678^2 + 26^2 .

It is a congruent number.

It is an unprimeable number.

460360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 342 + ... + 1018.

2⁴⁶⁰³⁶⁰ is an apocalyptic number.

460360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549180).

460360 is an abundant number, since it is smaller than the sum of its proper divisors (638000).

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

460360 is a wasteful number, since it uses less digits than its factorization.

460360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 460360 is about 678.4983419287. The cubic root of 460360 is about 77.2145587190.

It can be divided in two parts, 460 and 360, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 460360 in words is "four hundred sixty thousand, three hundred sixty".