20250400 has 72 divisors (see below), whose sum is σ = 52379460. Its totient is φ = 7618560.

The previous prime is 20250389. The next prime is 20250401. The reversal of 20250400 is 405202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7203856 + 13046544 = 2684^2 + 3612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20250401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12856 + ... + 14344.

Almost surely, 2^20250400 is an apocalyptic number.

20250400 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 20250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26189730).

20250400 is an abundant number, since it is smaller than the sum of its proper divisors (32129060).

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

20250400 is a wasteful number, since it uses less digits than its factorization.

20250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 20250400 is about 4500.0444442250. The cubic root of 20250400 is about 272.5698836000.

Adding to 20250400 its reverse (405202), we get a palindrome (20655602).

The spelling of 20250400 in words is "twenty million, two hundred fifty thousand, four hundred".