336444 has 36 divisors (see below), whose sum is σ = 836136. Its totient is φ = 105248.

The previous prime is 336437. The next prime is 336463. The reversal of 336444 is 444633.

It is a super-2 number, since 2×336444² = 226389130272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3⁵ + 3⁶ + 4² + 6⁵ + 4⁸ + 4⁹ .

336444 is a modest number, since divided by 444 gives 336 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336444.

It is an unprimeable number.

336444 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, 6322 + ... + 6374.

It is an arithmetic number, because the mean of its divisors is an integer number (23226).

2³³⁶⁴⁴⁴ 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 336444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418068).

336444 is an abundant number, since it is smaller than the sum of its proper divisors (499692).

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

336444 is a wasteful number, since it uses less digits than its factorization.

336444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 336444 is about 580.0379297943. The cubic root of 336444 is about 69.5511415588.

Adding to 336444 its product of digits (3456), we get a triangular number (339900 = T₈₂₄).

It can be divided in two parts, 336 and 444, that added together give a triangular number (780 = T₃₉).

The spelling of 336444 in words is "three hundred thirty-six thousand, four hundred forty-four".