457768 has 8 divisors (see below), whose sum is σ = 858330. Its totient is φ = 228880.

The previous prime is 457757. The next prime is 457789. The reversal of 457768 is 867754.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 209764 = 498^2 + 458^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

457768 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 as a sum of consecutive naturals, namely, 28603 + ... + 28618.

2⁴⁵⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

457768 is a deficient number, since it is larger than the sum of its proper divisors (400562).

457768 is a wasteful number, since it uses less digits than its factorization.

457768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57227 (or 57223 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 457768 is about 676.5855452195. The cubic root of 457768 is about 77.0693702165.

It can be divided in two parts, 457 and 768, that added together give a triangular number (1225 = T₄₉).

The spelling of 457768 in words is "four hundred fifty-seven thousand, seven hundred sixty-eight".