390456 has 96 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 107520.

The previous prime is 390449. The next prime is 390463. The reversal of 390456 is 654093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (390449) and next prime (390463).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

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 390456.

It is an unprimeable number.

390456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 13450 + ... + 13478.

2³⁹⁰⁴⁵⁶ is an apocalyptic number.

390456 is a gapful number since it is divisible by the number (36) 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 390456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631800).

390456 is an abundant number, since it is smaller than the sum of its proper divisors (873144).

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

390456 is a wasteful number, since it uses less digits than its factorization.

390456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 390456 is about 624.8647853736. The cubic root of 390456 is about 73.0898998760.

It can be divided in two parts, 39045 and 6, that multiplied together give a triangular number (234270 = T₆₈₄).

The spelling of 390456 in words is "three hundred ninety thousand, four hundred fifty-six".