415641150 has 144 divisors (see below), whose sum is σ = 1186464240. Its totient is φ = 104025600.

The previous prime is 415641113. The next prime is 415641157. The reversal of 415641150 is 51146514.

415641150 is a `hidden beast` number, since 4 + 1 + 5 + 641 + 15 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415641157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1479010 + ... + 1479290.

It is an arithmetic number, because the mean of its divisors is an integer number (8239335).

Almost surely, 2^415641150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415641150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593232120).

415641150 is an abundant number, since it is smaller than the sum of its proper divisors (770823090).

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

415641150 is a wasteful number, since it uses less digits than its factorization.

415641150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 415641150 is about 20387.2791220408. The cubic root of 415641150 is about 746.2875203141.

Adding to 415641150 its reverse (51146514), we get a palindrome (466787664).

The spelling of 415641150 in words is "four hundred fifteen million, six hundred forty-one thousand, one hundred fifty".