412090 has 36 divisors (see below), whose sum is σ = 893646. Its totient is φ = 136416.

The previous prime is 412081. The next prime is 412099. The reversal of 412090 is 90214.

It is an interprime number because it is at equal distance from previous prime (412081) and next prime (412099).

It can be written as a sum of positive squares in 3 ways, for example, as 337561 + 74529 = 581^2 + 273^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412090.

It is not an unprimeable number, because it can be changed into a prime (412099) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14196 + ... + 14224.

2⁴¹²⁰⁹⁰ is an apocalyptic number.

412090 is an abundant number, since it is smaller than the sum of its proper divisors (481556).

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

412090 is a wasteful number, since it uses less digits than its factorization.

412090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 412090 is about 641.9423650142. The cubic root of 412090 is about 74.4156064305.

The spelling of 412090 in words is "four hundred twelve thousand, ninety".