202130400 has 72 divisors (see below), whose sum is σ = 657942264. Its totient is φ = 53900800.

The previous prime is 202130399. The next prime is 202130437. The reversal of 202130400 is 4031202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39711 + ... + 44510.

It is an arithmetic number, because the mean of its divisors is an integer number (9138087).

Almost surely, 2^202130400 is an apocalyptic number.

202130400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202130400 is an abundant number, since it is smaller than the sum of its proper divisors (455811864).

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

202130400 is a wasteful number, since it uses less digits than its factorization.

202130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84244 (or 84231 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202130400 is about 14217.2571194306. The cubic root of 202130400 is about 586.8726606736.

Adding to 202130400 its reverse (4031202), we get a palindrome (206161602).

The spelling of 202130400 in words is "two hundred two million, one hundred thirty thousand, four hundred".