414408728 has 16 divisors (see below), whose sum is σ = 822723480. Its totient is φ = 195015808.

The previous prime is 414408719. The next prime is 414408737. The reversal of 414408728 is 827804414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414408719) and next prime (414408737).

It is a junction number, because it is equal to n+sod(n) for n = 414408691 and 414408700.

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 3 ways as a sum of consecutive naturals, for example, 1523426 + ... + 1523697.

Almost surely, 2^414408728 is an apocalyptic number.

It is an amenable number.

414408728 is a deficient number, since it is larger than the sum of its proper divisors (408314752).

414408728 is a wasteful number, since it uses less digits than its factorization.

414408728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047146 (or 3047142 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 414408728 is about 20357.0314142313. The cubic root of 414408728 is about 745.5491817228.

The spelling of 414408728 in words is "four hundred fourteen million, four hundred eight thousand, seven hundred twenty-eight".