414980224 has 16 divisors (see below), whose sum is σ = 826718670. Its totient is φ = 207490048.

The previous prime is 414980207. The next prime is 414980239. The reversal of 414980224 is 422089414.

It can be written as a sum of positive squares in only one way, i.e., 390773824 + 24206400 = 19768^2 + 4920^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×414980224² = 344417172622180352, 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 414980224.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1620889 + ... + 1621144.

Almost surely, 2^414980224 is an apocalyptic number.

It is an amenable number.

414980224 is a deficient number, since it is larger than the sum of its proper divisors (411738446).

414980224 is an equidigital number, since it uses as much as digits as its factorization.

414980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242047 (or 3242035 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 414980224 is about 20371.0633988508. The cubic root of 414980224 is about 745.8917442167.

The spelling of 414980224 in words is "four hundred fourteen million, nine hundred eighty thousand, two hundred twenty-four".