444528 has 100 divisors (see below), whose sum is σ = 1500400. Its totient is φ = 127008.

The previous prime is 444527. The next prime is 444529. The reversal of 444528 is 825444.

444528 = 102² + 103² + ... + 133².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (444527) and next prime (444529).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63501 + ... + 63507.

It is an arithmetic number, because the mean of its divisors is an integer number (15004).

444528 is a Friedman number, since it can be written as 42^4/(8-5+4), using all its digits and the basic arithmetic operations.

2⁴⁴⁴⁵²⁸ is an apocalyptic number.

444528 is a gapful number since it is divisible by the number (48) 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 444528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750200).

444528 is an abundant number, since it is smaller than the sum of its proper divisors (1055872).

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

444528 is an equidigital number, since it uses as much as digits as its factorization.

444528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 12 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 444528 is about 666.7293303883. The cubic root of 444528 is about 76.3190648989.

It can be divided in two parts, 444 and 528, that multiplied together give a palindrome (234432).

The spelling of 444528 in words is "four hundred forty-four thousand, five hundred twenty-eight".