390100 has 36 divisors (see below), whose sum is σ = 874944. Its totient is φ = 150880.

The previous prime is 390097. The next prime is 390101. The reversal of 390100 is 1093.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390101) 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, 4659 + ... + 4741.

It is an arithmetic number, because the mean of its divisors is an integer number (24304).

2³⁹⁰¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

390100 is an abundant number, since it is smaller than the sum of its proper divisors (484844).

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

390100 is a wasteful number, since it uses less digits than its factorization.

390100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 390100 is about 624.5798587851. The cubic root of 390100 is about 73.0676797741.

Adding to 390100 its reverse (1093), we get a palindrome (391193).

The spelling of 390100 in words is "three hundred ninety thousand, one hundred".