412716 has 24 divisors (see below), whose sum is σ = 973504. Its totient is φ = 136080.

The previous prime is 412667. The next prime is 412717. The reversal of 412716 is 617214.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 412692 and 412701.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412716.

It is not an unprimeable number, because it can be changed into a prime (412717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1851 + ... + 2061.

2⁴¹²⁷¹⁶ is an apocalyptic number.

It is an amenable number.

412716 is an abundant number, since it is smaller than the sum of its proper divisors (560788).

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

412716 is a wasteful number, since it uses less digits than its factorization.

412716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 412716 is about 642.4297626978. The cubic root of 412716 is about 74.4532685925.

It can be divided in two parts, 412 and 716, that added together give a triangular number (1128 = T₄₇).

The spelling of 412716 in words is "four hundred twelve thousand, seven hundred sixteen".