412699 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 320544.

The previous prime is 412667. The next prime is 412717. The reversal of 412699 is 996214.

412699 = T₁₅₄ + T₁₅₅ + ... + T₁₈₂.

412699 = 105² + 106² + ... + 133².

It is a happy number.

It is not a de Polignac number, because 412699 - 2⁵ = 412667 is a prime.

It is a Duffinian number.

Its product of digits (3888) is a multiple of the sum of its prime divisors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 412699.

It is not an unprimeable number, because it can be changed into a prime (412609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3804 + ... + 3910.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁴¹²⁶⁹⁹ is an apocalyptic number.

412699 is a deficient number, since it is larger than the sum of its proper divisors (105701).

412699 is a wasteful number, since it uses less digits than its factorization.

412699 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162.

The product of its digits is 3888, while the sum is 31.

The square root of 412699 is about 642.4165315432. The cubic root of 412699 is about 74.4522463214.

It can be divided in two parts, 4126 and 99, that added together give a square (4225 = 65²).

The spelling of 412699 in words is "four hundred twelve thousand, six hundred ninety-nine".