416606472 has 48 divisors (see below), whose sum is σ = 1131930540. Its totient is φ = 138423168.

The previous prime is 416606467. The next prime is 416606473. The reversal of 416606472 is 274606614.

416606472 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 0 + 647 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 268107876 + 148498596 = 16374^2 + 12186^2 .

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

It is not an unprimeable number, because it can be changed into a prime (416606473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13698 + ... + 31950.

Almost surely, 2^416606472 is an apocalyptic number.

It is an amenable number.

416606472 is an abundant number, since it is smaller than the sum of its proper divisors (715324068).

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

416606472 is a wasteful number, since it uses less digits than its factorization.

416606472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18582 (or 18575 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 416606472 is about 20410.9400077507. The cubic root of 416606472 is about 746.8648218054.

The spelling of 416606472 in words is "four hundred sixteen million, six hundred six thousand, four hundred seventy-two".