457144000 has 56 divisors (see below), whose sum is σ = 1132136928. Its totient is φ = 182854400.

The previous prime is 457143989. The next prime is 457144001. The reversal of 457144000 is 441754.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (457144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20572 + ... + 36571.

Almost surely, 2^457144000 is an apocalyptic number.

457144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457144000 is an abundant number, since it is smaller than the sum of its proper divisors (674992928).

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

457144000 is an equidigital number, since it uses as much as digits as its factorization.

457144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57170 (or 57150 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 457144000 is about 21380.9260791014. The cubic root of 457144000 is about 770.3433561734.

Adding to 457144000 its reverse (441754), we get a palindrome (457585754).

The spelling of 457144000 in words is "four hundred fifty-seven million, one hundred forty-four thousand".