412724 has 12 divisors (see below), whose sum is σ = 777924. Its totient is φ = 190464.

The previous prime is 412717. The next prime is 412739. The reversal of 412724 is 427214.

It can be written as a sum of positive squares in 2 ways, for example, as 268324 + 144400 = 518^2 + 380^2 .

It is a super-2 number, since 2×412724² = 340682200352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412696 and 412705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3917 + ... + 4020.

It is an arithmetic number, because the mean of its divisors is an integer number (64827).

2⁴¹²⁷²⁴ is an apocalyptic number.

It is an amenable number.

412724 is a deficient number, since it is larger than the sum of its proper divisors (365200).

412724 is a wasteful number, since it uses less digits than its factorization.

412724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7952 counting only the distinct ones).

The product of its digits is 448, while the sum is 20.

The square root of 412724 is about 642.4359890293. The cubic root of 412724 is about 74.4537496516.

Adding to 412724 its reverse (427214), we get a palindrome (839938).

The spelling of 412724 in words is "four hundred twelve thousand, seven hundred twenty-four", and thus it is an iban number.