413440524 has 120 divisors (see below), whose sum is σ = 1241010848. Its totient is φ = 117573120.

The previous prime is 413440519. The next prime is 413440541. The reversal of 413440524 is 425044314.

It is a happy number.

413440524 is a `hidden beast` number, since 4 + 134 + 4 + 0 + 524 = 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 39 ways as a sum of consecutive naturals, for example, 954612 + ... + 955044.

Almost surely, 2^413440524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413440524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620505424).

413440524 is an abundant number, since it is smaller than the sum of its proper divisors (827570324).

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

413440524 is a wasteful number, since it uses less digits than its factorization.

413440524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 413440524 is about 20333.2369287332. The cubic root of 413440524 is about 744.9681075788.

Adding to 413440524 its reverse (425044314), we get a palindrome (838484838).

The spelling of 413440524 in words is "four hundred thirteen million, four hundred forty thousand, five hundred twenty-four".