412771104 has 72 divisors (see below), whose sum is σ = 1201151952. Its totient is φ = 134386560.

The previous prime is 412771097. The next prime is 412771109. The reversal of 412771104 is 401177214.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (412771109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4282 + ... + 29049.

It is an arithmetic number, because the mean of its divisors is an integer number (16682666).

Almost surely, 2^412771104 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 412771104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600575976).

412771104 is an abundant number, since it is smaller than the sum of its proper divisors (788380848).

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

412771104 is a wasteful number, since it uses less digits than its factorization.

412771104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33390 (or 33379 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 412771104 is about 20316.7690344700. The cubic root of 412771104 is about 744.5658200123.

The spelling of 412771104 in words is "four hundred twelve million, seven hundred seventy-one thousand, one hundred four".