457968 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 123648.

The previous prime is 457943. The next prime is 457979. The reversal of 457968 is 869754.

It is a congruent number.

It is an unprimeable number.

457968 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 15 ways as a sum of consecutive naturals, for example, 9721 + ... + 9767.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

457968 is a Friedman number, since it can be written as 8*(4^6-7)*(9+5), using all its digits and the basic arithmetic operations.

2⁴⁵⁷⁹⁶⁸ is an apocalyptic number.

457968 is a gapful number since it is divisible by the number (48) 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 457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

457968 is an abundant number, since it is smaller than the sum of its proper divisors (970512).

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

457968 is a wasteful number, since it uses less digits than its factorization.

457968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 457968 is about 676.7333300496. The cubic root of 457968 is about 77.0805925168.

The spelling of 457968 in words is "four hundred fifty-seven thousand, nine hundred sixty-eight".