414039680 has 32 divisors (see below), whose sum is σ = 989815140. Its totient is φ = 165615616.

The previous prime is 414039679. The next prime is 414039683. The reversal of 414039680 is 86930414.

It can be written as a sum of positive squares in 2 ways, for example, as 400320064 + 13719616 = 20008^2 + 3704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×414039680² = 342857713229004800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414039680.

It is not an unprimeable number, because it can be changed into a prime (414039683) 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, 322829 + ... + 324108.

Almost surely, 2^414039680 is an apocalyptic number.

414039680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414039680 is an abundant number, since it is smaller than the sum of its proper divisors (575775460).

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

414039680 is an equidigital number, since it uses as much as digits as its factorization.

414039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646956 (or 646944 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 414039680 is about 20347.9650088160. The cubic root of 414039680 is about 745.3278019338.

The spelling of 414039680 in words is "four hundred fourteen million, thirty-nine thousand, six hundred eighty".