20442500 has 120 divisors (see below), whose sum is σ = 52351992. Its totient is φ = 6912000.

The previous prime is 20442479. The next prime is 20442511. The reversal of 20442500 is 524402.

It can be written as a sum of positive squares in 20 ways, for example, as 18783556 + 1658944 = 4334^2 + 1288^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 552482 + ... + 552518.

Almost surely, 2^20442500 is an apocalyptic number.

20442500 is a gapful number since it is divisible by the number (20) 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 20442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26175996).

20442500 is an abundant number, since it is smaller than the sum of its proper divisors (31909492).

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

20442500 is a wasteful number, since it uses less digits than its factorization.

20442500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 20442500 is about 4521.3382974513. The cubic root of 20442500 is about 273.4290596034.

Adding to 20442500 its reverse (524402), we get a palindrome (20966902).

The spelling of 20442500 in words is "twenty million, four hundred forty-two thousand, five hundred".