14442500 has 60 divisors (see below), whose sum is σ = 32473980. Its totient is φ = 5616000.

The previous prime is 14442499. The next prime is 14442509. The reversal of 14442500 is 524441.

It can be written as a sum of positive squares in 10 ways, for example, as 8202496 + 6240004 = 2864^2 + 2498^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14442509) 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, 132446 + ... + 132554.

It is an arithmetic number, because the mean of its divisors is an integer number (541233).

Almost surely, 2^14442500 is an apocalyptic number.

14442500 is a gapful number since it is divisible by the number (10) 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 14442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236990).

14442500 is an abundant number, since it is smaller than the sum of its proper divisors (18031480).

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

14442500 is a wasteful number, since it uses less digits than its factorization.

14442500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 14442500 is about 3800.3289331320. The cubic root of 14442500 is about 243.5271906525.

Adding to 14442500 its reverse (524441), we get a palindrome (14966941).

It can be divided in two parts, 1444 and 2500, that multiplied together give a square (3610000 = 1900²).

The spelling of 14442500 in words is "fourteen million, four hundred forty-two thousand, five hundred".