413005040 has 40 divisors (see below), whose sum is σ = 1097414880. Its totient is φ = 141601536.

The previous prime is 413005031. The next prime is 413005049. The reversal of 413005040 is 40500314.

It is an interprime number because it is at equal distance from previous prime (413005031) and next prime (413005049).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413005049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368195 + ... + 369314.

It is an arithmetic number, because the mean of its divisors is an integer number (27435372).

Almost surely, 2^413005040 is an apocalyptic number.

413005040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413005040 is an abundant number, since it is smaller than the sum of its proper divisors (684409840).

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

413005040 is a wasteful number, since it uses less digits than its factorization.

413005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737529 (or 737523 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 413005040 is about 20322.5254336168. The cubic root of 413005040 is about 744.7064531243.

Adding to 413005040 its reverse (40500314), we get a palindrome (453505354).

The spelling of 413005040 in words is "four hundred thirteen million, five thousand, forty".