450138 has 32 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 133056.

The previous prime is 450137. The next prime is 450161. The reversal of 450138 is 831054.

It is not an unprimeable number, because it can be changed into a prime (450137) 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, 2163 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁴⁵⁰¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

450138 is an abundant number, since it is smaller than the sum of its proper divisors (557862).

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

450138 is a wasteful number, since it uses less digits than its factorization.

450138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 450138 is about 670.9232444922. The cubic root of 450138 is about 76.6387758241.

The spelling of 450138 in words is "four hundred fifty thousand, one hundred thirty-eight".