390960 has 80 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 103680.

The previous prime is 390959. The next prime is 390961. The reversal of 390960 is 69093.

It is an interprime number because it is at equal distance from previous prime (390959) and next prime (390961).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (390961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070 + ... + 2250.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2³⁹⁰⁹⁶⁰ is an apocalyptic number.

390960 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 390960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

390960 is an abundant number, since it is smaller than the sum of its proper divisors (963120).

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

390960 is a wasteful number, since it uses less digits than its factorization.

390960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 390960 is about 625.2679425654. The cubic root of 390960 is about 73.1213344645.

It can be divided in two parts, 3909 and 60, that added together give a square (3969 = 63²).

The spelling of 390960 in words is "three hundred ninety thousand, nine hundred sixty".