414000408 has 32 divisors (see below), whose sum is σ = 1035509760. Its totient is φ = 137932320.

The previous prime is 414000359. The next prime is 414000449. The reversal of 414000408 is 804000414.

It is a Cunningham number, because it is equal to 20347²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78841 + ... + 83927.

It is an arithmetic number, because the mean of its divisors is an integer number (32359680).

Almost surely, 2^414000408 is an apocalyptic number.

It is an amenable number.

414000408 is an abundant number, since it is smaller than the sum of its proper divisors (621509352).

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

414000408 is a wasteful number, since it uses less digits than its factorization.

414000408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 414000408 is about 20346.9999754264. Note that the first 4 decimals coincide. The cubic root of 414000408 is about 745.3042362062.

The spelling of 414000408 in words is "four hundred fourteen million, four hundred eight", and thus it is an aban number.