202401150 has 288 divisors, whose sum is σ = 657815040. Its totient is φ = 40212480.

The previous prime is 202401131. The next prime is 202401151. The reversal of 202401150 is 51104202.

202401150 is digitally balanced in base 3, 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202401151) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6979336 + ... + 6979364.

It is an arithmetic number, because the mean of its divisors is an integer number (2284080).

Almost surely, 2^202401150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202401150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328907520).

202401150 is an abundant number, since it is smaller than the sum of its proper divisors (455413890).

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

202401150 is a wasteful number, since it uses less digits than its factorization.

202401150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 202401150 is about 14226.7758118275. The cubic root of 202401150 is about 587.1345788538.

Adding to 202401150 its reverse (51104202), we get a palindrome (253505352).

The spelling of 202401150 in words is "two hundred two million, four hundred one thousand, one hundred fifty".