413504964 has 18 divisors (see below), whose sum is σ = 1045248750. Its totient is φ = 137834976.

The previous prime is 413504963. The next prime is 413505019. The reversal of 413504964 is 469405314.

It can be written as a sum of positive squares in only one way, i.e., 244296900 + 169208064 = 15630^2 + 13008^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11486249 = 413504964 / (4 + 1 + 3 + 5 + 0 + 4 + 9 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (413504963) 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 5 ways as a sum of consecutive naturals, for example, 5743089 + ... + 5743160.

It is an arithmetic number, because the mean of its divisors is an integer number (58069375).

Almost surely, 2^413504964 is an apocalyptic number.

It is an amenable number.

413504964 is an abundant number, since it is smaller than the sum of its proper divisors (631743786).

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

413504964 is a wasteful number, since it uses less digits than its factorization.

413504964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11486259 (or 11486254 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 413504964 is about 20334.8214646699. The cubic root of 413504964 is about 745.0068098412.

The spelling of 413504964 in words is "four hundred thirteen million, five hundred four thousand, nine hundred sixty-four".