413125350 has 192 divisors, whose sum is σ = 1176567552. Its totient is φ = 95040000.

The previous prime is 413125343. The next prime is 413125373. The reversal of 413125350 is 53521314.

It is a self number, because there is not a number n which added to its sum of digits gives 413125350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4090300 + ... + 4090400.

It is an arithmetic number, because the mean of its divisors is an integer number (6127956).

Almost surely, 2^413125350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413125350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588283776).

413125350 is an abundant number, since it is smaller than the sum of its proper divisors (763442202).

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

413125350 is a wasteful number, since it uses less digits than its factorization.

413125350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 413125350 is about 20325.4852340602. The cubic root of 413125350 is about 744.7787580812.

Adding to 413125350 its reverse (53521314), we get a palindrome (466646664).

The spelling of 413125350 in words is "four hundred thirteen million, one hundred twenty-five thousand, three hundred fifty".