456246 has 64 divisors (see below), whose sum is σ = 1244160. Its totient is φ = 120960.

The previous prime is 456241. The next prime is 456283. The reversal of 456246 is 642654.

456246 = T₇₆ + T₇₇ + ... + T₁₄₆.

It is a happy number.

456246 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6391 + ... + 6461.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2⁴⁵⁶²⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080).

456246 is an abundant number, since it is smaller than the sum of its proper divisors (787914).

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

456246 is a wasteful number, since it uses less digits than its factorization.

456246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 456246 is about 675.4598433660. The cubic root of 456246 is about 76.9838612379.

The spelling of 456246 in words is "four hundred fifty-six thousand, two hundred forty-six".