20417000 has 64 divisors (see below), whose sum is σ = 50628240. Its totient is φ = 7680000.

The previous prime is 20416999. The next prime is 20417011. The reversal of 20417000 is 71402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 40804 + 20376196 = 202^2 + 4514^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16400 + ... + 17600.

Almost surely, 2^20417000 is an apocalyptic number.

20417000 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 20417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25314120).

20417000 is an abundant number, since it is smaller than the sum of its proper divisors (30211240).

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

20417000 is a wasteful number, since it uses less digits than its factorization.

20417000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 20417000 is about 4518.5174559804. The cubic root of 20417000 is about 273.3153203808.

Adding to 20417000 its reverse (71402), we get a palindrome (20488402).

The spelling of 20417000 in words is "twenty million, four hundred seventeen thousand".