412704 has 36 divisors (see below), whose sum is σ = 1174446. Its totient is φ = 137472.

The previous prime is 412667. The next prime is 412717. The reversal of 412704 is 407214.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 121104 = 540^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 429 + ... + 1004.

2⁴¹²⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

412704 is an abundant number, since it is smaller than the sum of its proper divisors (761742).

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

412704 is a wasteful number, since it uses less digits than its factorization.

412704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 412704 is about 642.4204230876. The cubic root of 412704 is about 74.4525469923.

Subtracting from 412704 its sum of digits (18), we obtain a triangular number (412686 = T₉₀₈).

Adding to 412704 its reverse (407214), we get a palindrome (819918).

The spelling of 412704 in words is "four hundred twelve thousand, seven hundred four", and thus it is an iban number.