20850400 has 72 divisors (see below), whose sum is σ = 51793560. Its totient is φ = 8194560.

The previous prime is 20850367. The next prime is 20850407. The reversal of 20850400 is 405802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20850407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53406 + ... + 53794.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^20850400 is an apocalyptic number.

20850400 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 20850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896780).

20850400 is an abundant number, since it is smaller than the sum of its proper divisors (30943160).

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

20850400 is a wasteful number, since it uses less digits than its factorization.

20850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 20850400 is about 4566.2238228103. The cubic root of 20850400 is about 275.2357207554.

The spelling of 20850400 in words is "twenty million, eight hundred fifty thousand, four hundred".