457275456 has 231 divisors, whose sum is σ = 1496086543. Its totient is φ = 138568320.

The previous prime is 457275437. The next prime is 457275457. The reversal of 457275456 is 654572754.

The square root of 457275456 is 21384.

It is a perfect power (a square), and thus also a powerful number.

457275456 is a `hidden beast` number, since 4 + 572 + 75 + 4 + 5 + 6 = 666.

It is a Duffinian number.

Its product of digits (1176000) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (457275457) by changing a digit.

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 32 ways as a sum of consecutive naturals, for example, 41570491 + ... + 41570501.

Almost surely, 2^457275456 is an apocalyptic number.

457275456 is the 21384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457275456

457275456 is an abundant number, since it is smaller than the sum of its proper divisors (1038811087).

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

457275456 is an frugal number, since it uses more digits than its factorization.

457275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 16 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The cubic root of 457275456 is about 770.4171888907.

The spelling of 457275456 in words is "four hundred fifty-seven million, two hundred seventy-five thousand, four hundred fifty-six".