460736 has 28 divisors (see below), whose sum is σ = 957072. Its totient is φ = 219648.

The previous prime is 460721. The next prime is 460771. The reversal of 460736 is 637064.

It is a d-powerful number, because it can be written as 4⁶ + 6 + 7⁶ + 0 + 3¹⁰ + 6⁷ .

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 460736.

It is an unprimeable number.

460736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1316 + ... + 1628.

2⁴⁶⁰⁷³⁶ is an apocalyptic number.

460736 is a gapful number since it is divisible by the number (46) 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 460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478536).

460736 is an abundant number, since it is smaller than the sum of its proper divisors (496336).

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

460736 is a wasteful number, since it uses less digits than its factorization.

460736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 460736 is about 678.7753678501. The cubic root of 460736 is about 77.2355747163.

The spelling of 460736 in words is "four hundred sixty thousand, seven hundred thirty-six".