416127470 has 48 divisors (see below), whose sum is σ = 827308944. Its totient is φ = 150585600.

The previous prime is 416127457. The next prime is 416127473. The reversal of 416127470 is 74721614.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416127473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290897 + ... + 292323.

It is an arithmetic number, because the mean of its divisors is an integer number (17235603).

Almost surely, 2^416127470 is an apocalyptic number.

416127470 is a deficient number, since it is larger than the sum of its proper divisors (411181474).

416127470 is a wasteful number, since it uses less digits than its factorization.

416127470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 416127470 is about 20399.2026804971. The cubic root of 416127470 is about 746.5784708842.

The spelling of 416127470 in words is "four hundred sixteen million, one hundred twenty-seven thousand, four hundred seventy".