414349146 has 24 divisors (see below), whose sum is σ = 898301664. Its totient is φ = 138032520.

The previous prime is 414349099. The next prime is 414349151. The reversal of 414349146 is 641943414.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 414349146.

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, 28291 + ... + 40361.

It is an arithmetic number, because the mean of its divisors is an integer number (37429236).

Almost surely, 2^414349146 is an apocalyptic number.

414349146 is an abundant number, since it is smaller than the sum of its proper divisors (483952518).

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

414349146 is a wasteful number, since it uses less digits than its factorization.

414349146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986 (or 13983 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 414349146 is about 20355.5679360710. The cubic root of 414349146 is about 745.5134493348.

The spelling of 414349146 in words is "four hundred fourteen million, three hundred forty-nine thousand, one hundred forty-six".