456444 has 36 divisors (see below), whose sum is σ = 1193920. Its totient is φ = 146880.

The previous prime is 456439. The next prime is 456451. The reversal of 456444 is 444654.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×456444² = 416682250272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

456444 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, 912 + ... + 1320.

2⁴⁵⁶⁴⁴⁴ 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 456444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596960).

456444 is an abundant number, since it is smaller than the sum of its proper divisors (737476).

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

456444 is a wasteful number, since it uses less digits than its factorization.

456444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 456444 is about 675.6063942859. The cubic root of 456444 is about 76.9949960205.

It can be divided in two parts, 456 and 444, that added together give a square (900 = 30²).

The spelling of 456444 in words is "four hundred fifty-six thousand, four hundred forty-four".