413015440 has 40 divisors (see below), whose sum is σ = 962904888. Its totient is φ = 164751360.

The previous prime is 413015417. The next prime is 413015441. The reversal of 413015440 is 44510314.

It can be written as a sum of positive squares in 4 ways, for example, as 25240576 + 387774864 = 5024^2 + 19692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (413015441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22920 + ... + 36760.

Almost surely, 2^413015440 is an apocalyptic number.

413015440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413015440 is an abundant number, since it is smaller than the sum of its proper divisors (549889448).

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

413015440 is a wasteful number, since it uses less digits than its factorization.

413015440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14227 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 413015440 is about 20322.7813057170. The cubic root of 413015440 is about 744.7127039617.

Adding to 413015440 its reverse (44510314), we get a palindrome (457525754).

The spelling of 413015440 in words is "four hundred thirteen million, fifteen thousand, four hundred forty".