457000 has 32 divisors (see below), whose sum is σ = 1071720. Its totient is φ = 182400.

The previous prime is 456991. The next prime is 457001. The reversal of 457000 is 754.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 232324 = 474^2 + 482^2 .

It is not an unprimeable number, because it can be changed into a prime (457001) by changing a digit.

457000 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, 772 + ... + 1228.

2⁴⁵⁷⁰⁰⁰ is an apocalyptic number.

457000 is a gapful number since it is divisible by the number (40) 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 457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535860).

457000 is an abundant number, since it is smaller than the sum of its proper divisors (614720).

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

457000 is a wasteful number, since it uses less digits than its factorization.

457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 457000 is about 676.0177512462. The cubic root of 457000 is about 77.0262461829.

Adding to 457000 its reverse (754), we get a palindrome (457754).

The spelling of 457000 in words is "four hundred fifty-seven thousand".