412752 has 20 divisors (see below), whose sum is σ = 1066400. Its totient is φ = 137568.

The previous prime is 412739. The next prime is 412771. The reversal of 412752 is 257214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4252 + ... + 4347.

It is an arithmetic number, because the mean of its divisors is an integer number (53320).

2⁴¹²⁷⁵² is an apocalyptic number.

It is an amenable number.

412752 is an abundant number, since it is smaller than the sum of its proper divisors (653648).

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

412752 is a wasteful number, since it uses less digits than its factorization.

412752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610 (or 8604 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 412752 is about 642.4577807140. The cubic root of 412752 is about 74.4554333093.

Adding to 412752 its reverse (257214), we get a palindrome (669966).

The spelling of 412752 in words is "four hundred twelve thousand, seven hundred fifty-two".