413015364 has 18 divisors (see below), whose sum is σ = 1044011150. Its totient is φ = 137671776.

The previous prime is 413015363. The next prime is 413015381. The reversal of 413015364 is 463510314.

It can be written as a sum of positive squares in only one way, i.e., 221414400 + 191600964 = 14880^2 + 13842^2 .

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

It is not an unprimeable number, because it can be changed into a prime (413015363) 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, 5736289 + ... + 5736360.

Almost surely, 2^413015364 is an apocalyptic number.

It is an amenable number.

413015364 is an abundant number, since it is smaller than the sum of its proper divisors (630995786).

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

413015364 is a wasteful number, since it uses less digits than its factorization.

413015364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472659 (or 11472654 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413015364 is about 20322.7794358941. The cubic root of 413015364 is about 744.7126582829.

Adding to 413015364 its reverse (463510314), we get a palindrome (876525678).

It can be divided in two parts, 41301 and 5364, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 413015364 in words is "four hundred thirteen million, fifteen thousand, three hundred sixty-four".