20408000 has 56 divisors (see below), whose sum is σ = 50560224. Its totient is φ = 8160000.

The previous prime is 20407997. The next prime is 20408029. The reversal of 20408000 is 80402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6725 + ... + 9275.

Almost surely, 2^20408000 is an apocalyptic number.

20408000 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 20408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280112).

20408000 is an abundant number, since it is smaller than the sum of its proper divisors (30152224).

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

20408000 is an equidigital number, since it uses as much as digits as its factorization.

20408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 20408000 is about 4517.5214443321. The cubic root of 20408000 is about 273.2751545156.

Adding to 20408000 its reverse (80402), we get a palindrome (20488402).

The spelling of 20408000 in words is "twenty million, four hundred eight thousand".