412038 has 24 divisors (see below), whose sum is σ = 974376. Its totient is φ = 124800.

The previous prime is 412037. The next prime is 412039. The reversal of 412038 is 830214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (412037) and next prime (412039).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 412038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 843 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (40599).

2⁴¹²⁰³⁸ is an apocalyptic number.

412038 is an abundant number, since it is smaller than the sum of its proper divisors (562338).

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

412038 is a wasteful number, since it uses less digits than its factorization.

412038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412038 is about 641.9018616580. The cubic root of 412038 is about 74.4124762289.

The spelling of 412038 in words is "four hundred twelve thousand, thirty-eight".