390420 has 60 divisors (see below), whose sum is σ = 1229844. Its totient is φ = 103680.

The previous prime is 390419. The next prime is 390421. The reversal of 390420 is 24093.

It is an interprime number because it is at equal distance from previous prime (390419) and next prime (390421).

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 171396 = 468^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 390393 and 390402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390420.

It is not an unprimeable number, because it can be changed into a prime (390421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1500 + ... + 1740.

2³⁹⁰⁴²⁰ is an apocalyptic number.

390420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614922).

390420 is an abundant number, since it is smaller than the sum of its proper divisors (839424).

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

390420 is a wasteful number, since it uses less digits than its factorization.

390420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 390420 is about 624.8359784776. The cubic root of 390420 is about 73.0876535134.

The spelling of 390420 in words is "three hundred ninety thousand, four hundred twenty".