413643150 has 144 divisors (see below), whose sum is σ = 1188205200. Its totient is φ = 102804480.

The previous prime is 413643149. The next prime is 413643169. The reversal of 413643150 is 51346314.

413643150 is a `hidden beast` number, since 4 + 1 + 3 + 643 + 15 + 0 = 666.

It is a super-2 number, since 2×413643150² = 342201311083845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1063156 + ... + 1063544.

It is an arithmetic number, because the mean of its divisors is an integer number (8251425).

Almost surely, 2^413643150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413643150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594102600).

413643150 is an abundant number, since it is smaller than the sum of its proper divisors (774562050).

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

413643150 is a wasteful number, since it uses less digits than its factorization.

413643150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413643150 is about 20338.2189485707. The cubic root of 413643150 is about 745.0897899375.

Adding to 413643150 its reverse (51346314), we get a palindrome (464989464).

The spelling of 413643150 in words is "four hundred thirteen million, six hundred forty-three thousand, one hundred fifty".