413749640 has 16 divisors (see below), whose sum is σ = 930936780. Its totient is φ = 165499840.

The previous prime is 413749627. The next prime is 413749649. The reversal of 413749640 is 46947314.

It can be written as a sum of positive squares in 2 ways, for example, as 411359524 + 2390116 = 20282^2 + 1546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413749594 and 413749603.

It is not an unprimeable number, because it can be changed into a prime (413749649) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5171831 + ... + 5171910.

Almost surely, 2^413749640 is an apocalyptic number.

413749640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413749640 is an abundant number, since it is smaller than the sum of its proper divisors (517187140).

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

413749640 is a wasteful number, since it uses less digits than its factorization.

413749640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343752 (or 10343748 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 413749640 is about 20340.8367576164. The cubic root of 413749640 is about 745.1537241150.

The spelling of 413749640 in words is "four hundred thirteen million, seven hundred forty-nine thousand, six hundred forty".