456788 has 6 divisors (see below), whose sum is σ = 799386. Its totient is φ = 228392.

The previous prime is 456769. The next prime is 456791. The reversal of 456788 is 887654.

It can be written as a sum of positive squares in only one way, i.e., 425104 + 31684 = 652^2 + 178^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁷ + 5⁷ + 7⁵ + 6⁷ + 8⁵ + 8⁵ .

It is a plaindrome in base 10.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

456788 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, 57095 + ... + 57102.

It is an arithmetic number, because the mean of its divisors is an integer number (133231).

2⁴⁵⁶⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

456788 is a deficient number, since it is larger than the sum of its proper divisors (342598).

456788 is a wasteful number, since it uses less digits than its factorization.

456788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114201 (or 114199 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 456788 is about 675.8609324410. The cubic root of 456788 is about 77.0143336446.

The spelling of 456788 in words is "four hundred fifty-six thousand, seven hundred eighty-eight".