407745416 has 16 divisors (see below), whose sum is σ = 823332300. Its totient is φ = 188190144.

The previous prime is 407745407. The next prime is 407745419. The reversal of 407745416 is 614547704.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 399600100 + 8145316 = 19990^2 + 2854^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 407745416.

It is not an unprimeable number, because it can be changed into a prime (407745419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1960211 + ... + 1960418.

Almost surely, 2^407745416 is an apocalyptic number.

It is an amenable number.

407745416 is an abundant number, since it is smaller than the sum of its proper divisors (415586884).

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

407745416 is a wasteful number, since it uses less digits than its factorization.

407745416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920648 (or 3920644 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 407745416 is about 20192.7070003009. The cubic root of 407745416 is about 741.5316559250.

The spelling of 407745416 in words is "four hundred seven million, seven hundred forty-five thousand, four hundred sixteen".