438090 has 32 divisors (see below), whose sum is σ = 1114560. Its totient is φ = 109824.

The previous prime is 438049. The next prime is 438091. The reversal of 438090 is 90834.

438090 = 294² + 295² + ... + 298².

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 438090.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (34830).

2⁴³⁸⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557280).

438090 is an abundant number, since it is smaller than the sum of its proper divisors (676470).

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

438090 is a wasteful number, since it uses less digits than its factorization.

438090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 438090 is about 661.8836755805. The cubic root of 438090 is about 75.9488344442.

The spelling of 438090 in words is "four hundred thirty-eight thousand, ninety".