202404096 has 180 divisors, whose sum is σ = 620288592. Its totient is φ = 65608704.

The previous prime is 202404073. The next prime is 202404121. The reversal of 202404096 is 690404202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 891535 + ... + 891761.

Almost surely, 2^202404096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310144296).

202404096 is an abundant number, since it is smaller than the sum of its proper divisors (417884496).

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

202404096 is an equidigital number, since it uses as much as digits as its factorization.

202404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 202404096 is about 14226.8793486133. The cubic root of 202404096 is about 587.1374274709.

Adding to 202404096 its reverse (690404202), we get a palindrome (892808298).

It can be divided in two parts, 20240 and 4096, that added together give a square (24336 = 156²).

The spelling of 202404096 in words is "two hundred two million, four hundred four thousand, ninety-six".