414720216 has 32 divisors (see below), whose sum is σ = 1152001200. Its totient is φ = 138240000.

The previous prime is 414720203. The next prime is 414720221. The reversal of 414720216 is 612027414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 414720216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959785 + ... + 960216.

Almost surely, 2^414720216 is an apocalyptic number.

It is an amenable number.

414720216 is an abundant number, since it is smaller than the sum of its proper divisors (737280984).

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

414720216 is a wasteful number, since it uses less digits than its factorization.

414720216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920016 (or 1920006 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 414720216 is about 20364.6806014727. The cubic root of 414720216 is about 745.7359308969.

The spelling of 414720216 in words is "four hundred fourteen million, seven hundred twenty thousand, two hundred sixteen".