414128907 has 24 divisors (see below), whose sum is σ = 623520768. Its totient is φ = 264567600.

The previous prime is 414128893. The next prime is 414128917. The reversal of 414128907 is 709821414.

It is not a de Polignac number, because 414128907 - 2⁶ = 414128843 is a prime.

It is a super-2 number, since 2×414128907² = 343005503226029298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414128917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21532 + ... + 35942.

It is an arithmetic number, because the mean of its divisors is an integer number (25980032).

Almost surely, 2^414128907 is an apocalyptic number.

414128907 is a deficient number, since it is larger than the sum of its proper divisors (209391861).

414128907 is a wasteful number, since it uses less digits than its factorization.

414128907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14551 (or 14548 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 414128907 is about 20350.1574195386. The cubic root of 414128907 is about 745.3813383381.

The spelling of 414128907 in words is "four hundred fourteen million, one hundred twenty-eight thousand, nine hundred seven".