202102400 has 96 divisors (see below), whose sum is σ = 503991180. Its totient is φ = 80076800.

The previous prime is 202102393. The next prime is 202102429. The reversal of 202102400 is 4201202.

202102400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 63616576 + 138485824 = 7976^2 + 11768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438170 + ... + 438630.

Almost surely, 2^202102400 is an apocalyptic number.

202102400 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 202102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251995590).

202102400 is an abundant number, since it is smaller than the sum of its proper divisors (301888780).

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

202102400 is a wasteful number, since it uses less digits than its factorization.

202102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 202102400 is about 14216.2723665524. The cubic root of 202102400 is about 586.8455606871.

Adding to 202102400 its reverse (4201202), we get a palindrome (206303602).

The spelling of 202102400 in words is "two hundred two million, one hundred two thousand, four hundred".