413503650 has 384 divisors, whose sum is σ = 1428480000. Its totient is φ = 87635520.

The previous prime is 413503639. The next prime is 413503679. The reversal of 413503650 is 56305314.

413503650 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 0 + 3 + 650 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8797927 + ... + 8797973.

It is an arithmetic number, because the mean of its divisors is an integer number (3720000).

Almost surely, 2^413503650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413503650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240000).

413503650 is an abundant number, since it is smaller than the sum of its proper divisors (1014976350).

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

413503650 is a wasteful number, since it uses less digits than its factorization.

413503650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 413503650 is about 20334.7891555334. The cubic root of 413503650 is about 745.0060207012.

Adding to 413503650 its reverse (56305314), we get a palindrome (469808964).

The spelling of 413503650 in words is "four hundred thirteen million, five hundred three thousand, six hundred fifty".