415440216 has 24 divisors (see below), whose sum is σ = 1125150780. Its totient is φ = 138480048.

The previous prime is 415440199. The next prime is 415440217. The reversal of 415440216 is 612044514.

415440216 is a `hidden beast` number, since 4 + 1 + 5 + 440 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 415440216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415440217) 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, 2884930 + ... + 2885073.

Almost surely, 2^415440216 is an apocalyptic number.

It is an amenable number.

415440216 is an abundant number, since it is smaller than the sum of its proper divisors (709710564).

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

415440216 is a wasteful number, since it uses less digits than its factorization.

415440216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770015 (or 5770008 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 415440216 is about 20382.3506004582. The cubic root of 415440216 is about 746.1672413128.

The spelling of 415440216 in words is "four hundred fifteen million, four hundred forty thousand, two hundred sixteen".