459480 has 64 divisors (see below), whose sum is σ = 1578240. Its totient is φ = 104832.

The previous prime is 459479. The next prime is 459509. The reversal of 459480 is 84954.

459480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459480² = 422243740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567 + ... + 1113.

It is an arithmetic number, because the mean of its divisors is an integer number (24660).

2⁴⁵⁹⁴⁸⁰ is an apocalyptic number.

459480 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 459480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789120).

459480 is an abundant number, since it is smaller than the sum of its proper divisors (1118760).

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

459480 is a wasteful number, since it uses less digits than its factorization.

459480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 459480 is about 677.8495408275. The cubic root of 459480 is about 77.1653275713.

It can be divided in two parts, 459 and 480, that added together give a palindrome (939).

The spelling of 459480 in words is "four hundred fifty-nine thousand, four hundred eighty".