413864072 has 16 divisors (see below), whose sum is σ = 776610240. Its totient is φ = 206768016.

The previous prime is 413864071. The next prime is 413864131. The reversal of 413864072 is 270468314.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (413864071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9428 + ... + 30275.

It is an arithmetic number, because the mean of its divisors is an integer number (48538140).

Almost surely, 2^413864072 is an apocalyptic number.

It is an amenable number.

413864072 is a deficient number, since it is larger than the sum of its proper divisors (362746168).

413864072 is a wasteful number, since it uses less digits than its factorization.

413864072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41012 (or 41008 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 413864072 is about 20343.6494267867. The cubic root of 413864072 is about 745.2224142623. Note that the first 3 decimals are identical.

The spelling of 413864072 in words is "four hundred thirteen million, eight hundred sixty-four thousand, seventy-two".