120456 has 48 divisors (see below), whose sum is σ = 374400. Its totient is φ = 34272.

The previous prime is 120431. The next prime is 120473. The reversal of 120456 is 654021.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120456.

It is an unprimeable number.

120456 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 11 ways as a sum of consecutive naturals, for example, 385 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2¹²⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

120456 is an abundant number, since it is smaller than the sum of its proper divisors (253944).

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

120456 is a wasteful number, since it uses less digits than its factorization.

120456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

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

The square root of 120456 is about 347.0677167355. The cubic root of 120456 is about 49.3866398878.

Adding to 120456 its reverse (654021), we get a palindrome (774477).

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

The spelling of 120456 in words is "one hundred twenty thousand, four hundred fifty-six".