412787016 has 96 divisors (see below), whose sum is σ = 1187877600. Its totient is φ = 134213760.

The previous prime is 412786993. The next prime is 412787017. The reversal of 412787016 is 610787214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412787017) 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 23 ways as a sum of consecutive naturals, for example, 77115 + ... + 82293.

It is an arithmetic number, because the mean of its divisors is an integer number (12373725).

Almost surely, 2^412787016 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 412787016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593938800).

412787016 is an abundant number, since it is smaller than the sum of its proper divisors (775090584).

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

412787016 is a wasteful number, since it uses less digits than its factorization.

412787016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 412787016 is about 20317.1606283949. The cubic root of 412787016 is about 744.5753873641.

The spelling of 412787016 in words is "four hundred twelve million, seven hundred eighty-seven thousand, sixteen".