459760 has 40 divisors (see below), whose sum is σ = 1223136. Its totient is φ = 157440.

The previous prime is 459749. The next prime is 459763. The reversal of 459760 is 67954.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×459760² = 422758515200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459763) by changing a digit.

459760 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 7 ways as a sum of consecutive naturals, for example, 150 + ... + 970.

2⁴⁵⁹⁷⁶⁰ is an apocalyptic number.

459760 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 459760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611568).

459760 is an abundant number, since it is smaller than the sum of its proper divisors (763376).

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

459760 is a wasteful number, since it uses less digits than its factorization.

459760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 459760 is about 678.0560448812. The cubic root of 459760 is about 77.1809988405.

The spelling of 459760 in words is "four hundred fifty-nine thousand, seven hundred sixty".