457064 has 32 divisors (see below), whose sum is σ = 940800. Its totient is φ = 207360.

The previous prime is 457057. The next prime is 457087. The reversal of 457064 is 460754.

457064 = 47³ + 48³ + ... + 50³.

It is a congruent number.

It is an unprimeable number.

457064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4664 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁴⁵⁷⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

457064 is an abundant number, since it is smaller than the sum of its proper divisors (483736).

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

457064 is a wasteful number, since it uses less digits than its factorization.

457064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 457064 is about 676.0650856242. The cubic root of 457064 is about 77.0298416968.

The spelling of 457064 in words is "four hundred fifty-seven thousand, sixty-four".