200820400 has 60 divisors (see below), whose sum is σ = 526343544. Its totient is φ = 73024000.

The previous prime is 200820391. The next prime is 200820407. The reversal of 200820400 is 4028002.

200820400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (200820407) 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, 18421 + ... + 27220.

Almost surely, 2^200820400 is an apocalyptic number.

200820400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200820400 is an abundant number, since it is smaller than the sum of its proper divisors (325523144).

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

200820400 is a wasteful number, since it uses less digits than its factorization.

200820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45670 (or 45659 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 200820400 is about 14171.1114595857. Note that the first 3 decimals coincide. The cubic root of 200820400 is about 585.6020781626.

Adding to 200820400 its reverse (4028002), we get a palindrome (204848402).

The spelling of 200820400 in words is "two hundred million, eight hundred twenty thousand, four hundred".