456120 has 96 divisors (see below), whose sum is σ = 1703520. Its totient is φ = 103680.

The previous prime is 456119. The next prime is 456149. The reversal of 456120 is 21654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 456093 and 456102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430 + ... + 2610.

It is an arithmetic number, because the mean of its divisors is an integer number (17745).

2⁴⁵⁶¹²⁰ is an apocalyptic number.

456120 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 456120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851760).

456120 is an abundant number, since it is smaller than the sum of its proper divisors (1247400).

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

456120 is a wasteful number, since it uses less digits than its factorization.

456120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 456120 is about 675.3665671323. The cubic root of 456120 is about 76.9767737897.

Adding to 456120 its reverse (21654), we get a palindrome (477774).

It can be divided in two parts, 456 and 120, that added together give a square (576 = 24²).

The spelling of 456120 in words is "four hundred fifty-six thousand, one hundred twenty".