412935936 has 108 divisors (see below), whose sum is σ = 1278558792. Its totient is φ = 117970944.

The previous prime is 412935917. The next prime is 412935953. The reversal of 412935936 is 639539214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 32146 + ... + 43118.

Almost surely, 2^412935936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412935936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639279396).

412935936 is an abundant number, since it is smaller than the sum of its proper divisors (865622856).

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

412935936 is a wasteful number, since it uses less digits than its factorization.

412935936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 10985 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 412935936 is about 20320.8251800954. The cubic root of 412935936 is about 744.6649160482.

The spelling of 412935936 in words is "four hundred twelve million, nine hundred thirty-five thousand, nine hundred thirty-six".