412977936 has 160 divisors (see below), whose sum is σ = 1255276800. Its totient is φ = 114573312.

The previous prime is 412977931. The next prime is 412977947. The reversal of 412977936 is 639779214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (412977931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2771590 + ... + 2771738.

It is an arithmetic number, because the mean of its divisors is an integer number (7845480).

Almost surely, 2^412977936 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 412977936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627638400).

412977936 is an abundant number, since it is smaller than the sum of its proper divisors (842298864).

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

412977936 is a wasteful number, since it uses less digits than its factorization.

412977936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 412977936 is about 20321.8585764196. The cubic root of 412977936 is about 744.6901619871.

The spelling of 412977936 in words is "four hundred twelve million, nine hundred seventy-seven thousand, nine hundred thirty-six".