200020400 has 60 divisors (see below), whose sum is σ = 485404944. Its totient is φ = 79200000.

The previous prime is 200020399. The next prime is 200020417. The reversal of 200020400 is 4020002.

200020400 = 44² + 45² + ... + 843².

It is a Harshad number since it is a multiple of its sum of digits (8).

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 11 ways as a sum of consecutive naturals, for example, 37925 + ... + 42875.

Almost surely, 2^200020400 is an apocalyptic number.

200020400 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 200020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242702472).

200020400 is an abundant number, since it is smaller than the sum of its proper divisors (285384544).

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

200020400 is a wasteful number, since it uses less digits than its factorization.

200020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 200020400 is about 14142.8568542569. The cubic root of 200020400 is about 584.8234302872.

Adding to 200020400 its reverse (4020002), we get a palindrome (204040402).

The spelling of 200020400 in words is "two hundred million, twenty thousand, four hundred".