390150 has 72 divisors (see below), whose sum is σ = 1142040. Its totient is φ = 97920.

The previous prime is 390119. The next prime is 390151. The reversal of 390150 is 51093.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390151) by changing a digit.

390150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22942 + ... + 22958.

2³⁹⁰¹⁵⁰ is an apocalyptic number.

390150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 390150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571020).

390150 is an abundant number, since it is smaller than the sum of its proper divisors (751890).

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

390150 is a wasteful number, since it uses less digits than its factorization.

390150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 390150 is about 624.6198844097. The cubic root of 390150 is about 73.0708013907.

The spelling of 390150 in words is "three hundred ninety thousand, one hundred fifty".