456390 has 48 divisors (see below), whose sum is σ = 1297296. Its totient is φ = 110400.

The previous prime is 456377. The next prime is 456403. The reversal of 456390 is 93654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456377) and next prime (456403).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (27027).

2⁴⁵⁶³⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648648).

456390 is an abundant number, since it is smaller than the sum of its proper divisors (840906).

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

456390 is a wasteful number, since it uses less digits than its factorization.

456390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 482 counting only the distinct ones).

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

The square root of 456390 is about 675.5664290061. The cubic root of 456390 is about 76.9919595810.

The spelling of 456390 in words is "four hundred fifty-six thousand, three hundred ninety".