414412668 has 36 divisors (see below), whose sum is σ = 1083668040. Its totient is φ = 133373856.

The previous prime is 414412633. The next prime is 414412673. The reversal of 414412668 is 866214414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197430 + ... + 199517.

It is an arithmetic number, because the mean of its divisors is an integer number (30101890).

Almost surely, 2^414412668 is an apocalyptic number.

It is an amenable number.

414412668 is an abundant number, since it is smaller than the sum of its proper divisors (669255372).

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

414412668 is a wasteful number, since it uses less digits than its factorization.

414412668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396986 (or 396981 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 414412668 is about 20357.1281864609. The cubic root of 414412668 is about 745.5515444903.

The spelling of 414412668 in words is "four hundred fourteen million, four hundred twelve thousand, six hundred sixty-eight".