413629712 has 20 divisors (see below), whose sum is σ = 808763340. Its totient is φ = 204916608.

The previous prime is 413629709. The next prime is 413629747. The reversal of 413629712 is 217926314.

It can be written as a sum of positive squares in 2 ways, for example, as 378535936 + 35093776 = 19456^2 + 5924^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116843 + ... + 120330.

It is an arithmetic number, because the mean of its divisors is an integer number (40438167).

Almost surely, 2^413629712 is an apocalyptic number.

It is an amenable number.

413629712 is a deficient number, since it is larger than the sum of its proper divisors (395133628).

413629712 is a wasteful number, since it uses less digits than its factorization.

413629712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237290 (or 237284 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 413629712 is about 20337.8885826430. Note that the first 3 decimals coincide. The cubic root of 413629712 is about 745.0817212878.

The spelling of 413629712 in words is "four hundred thirteen million, six hundred twenty-nine thousand, seven hundred twelve".