457143056928 has 72 divisors (see below), whose sum is σ = 1300140527868. Its totient is φ = 152364613632.

The previous prime is 457143056917. The next prime is 457143056933. The reversal of 457143056928 is 829650341754.

It is a happy number.

457143056928 is a `hidden beast` number, since 4 + 5 + 71 + 4 + 3 + 0 + 569 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 455932851984 + 1210204944 = 675228^2 + 34788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2758300 + ... + 2919332.

It is a 1-persistent number, because it is pandigital, but 2⋅457143056928 = 914286113856 is not.

Almost surely, 2^457143056928 is an apocalyptic number.

457143056928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

457143056928 is an abundant number, since it is smaller than the sum of its proper divisors (842997470940).

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

457143056928 is a wasteful number, since it uses less digits than its factorization.

457143056928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170906 (or 170895 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 457143056928 in words is "four hundred fifty-seven billion, one hundred forty-three million, fifty-six thousand, nine hundred twenty-eight".