416107964 has 12 divisors (see below), whose sum is σ = 729500184. Its totient is φ = 207679344.

The previous prime is 416107907. The next prime is 416107969. The reversal of 416107964 is 469701614.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416107969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91154 + ... + 95609.

It is an arithmetic number, because the mean of its divisors is an integer number (60791682).

Almost surely, 2^416107964 is an apocalyptic number.

It is an amenable number.

416107964 is a deficient number, since it is larger than the sum of its proper divisors (313392220).

416107964 is a wasteful number, since it uses less digits than its factorization.

416107964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187324 (or 187322 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 416107964 is about 20398.7245679724. The cubic root of 416107964 is about 746.5668053984.

The spelling of 416107964 in words is "four hundred sixteen million, one hundred seven thousand, nine hundred sixty-four".