456348 has 24 divisors (see below), whose sum is σ = 1127952. Its totient is φ = 143104.

The previous prime is 456329. The next prime is 456349. The reversal of 456348 is 843654.

It is a d-powerful number, because it can be written as 4⁷ + 5³ + 3¹¹ + 6² + 4⁹ + 8³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456349) by changing a digit.

456348 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 7 ways as a sum of consecutive naturals, for example, 915 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (46998).

2⁴⁵⁶³⁴⁸ is an apocalyptic number.

It is an amenable number.

456348 is an abundant number, since it is smaller than the sum of its proper divisors (671604).

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

456348 is a wasteful number, since it uses less digits than its factorization.

456348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2259 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 456348 is about 675.5353432649. The cubic root of 456348 is about 76.9895977402.

It can be divided in two parts, 4563 and 48, that multiplied together give a square (219024 = 468²).

The spelling of 456348 in words is "four hundred fifty-six thousand, three hundred forty-eight".