416272132 has 36 divisors (see below), whose sum is σ = 777121380. Its totient is φ = 195065344.

The previous prime is 416272117. The next prime is 416272151. The reversal of 416272132 is 231272614.

It can be written as a sum of positive squares in 6 ways, for example, as 258116356 + 158155776 = 16066^2 + 12576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 416272132.

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, 338094 + ... + 339322.

It is an arithmetic number, because the mean of its divisors is an integer number (21586705).

Almost surely, 2^416272132 is an apocalyptic number.

It is an amenable number.

416272132 is a deficient number, since it is larger than the sum of its proper divisors (360849248).

416272132 is a wasteful number, since it uses less digits than its factorization.

416272132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1541 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 416272132 is about 20402.7481482275. The cubic root of 416272132 is about 746.6649740431.

The spelling of 416272132 in words is "four hundred sixteen million, two hundred seventy-two thousand, one hundred thirty-two".