407238 has 32 divisors (see below), whose sum is σ = 919296. Its totient is φ = 119328.

The previous prime is 407233. The next prime is 407249. The reversal of 407238 is 832704.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1681 + ... + 1907.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁴⁰⁷²³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

407238 is an abundant number, since it is smaller than the sum of its proper divisors (512058).

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

407238 is a wasteful number, since it uses less digits than its factorization.

407238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 407238 is about 638.1520195063. The cubic root of 407238 is about 74.1223930238.

The spelling of 407238 in words is "four hundred seven thousand, two hundred thirty-eight".