457525782 has 48 divisors (see below), whose sum is σ = 1135330560. Its totient is φ = 130443696.

The previous prime is 457525769. The next prime is 457525787. The reversal of 457525782 is 287525754.

457525782 is a `hidden beast` number, since 4 + 5 + 75 + 2 + 578 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457525787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59769 + ... + 66987.

It is an arithmetic number, because the mean of its divisors is an integer number (23652720).

Almost surely, 2^457525782 is an apocalyptic number.

457525782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

457525782 is an abundant number, since it is smaller than the sum of its proper divisors (677804778).

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

457525782 is a wasteful number, since it uses less digits than its factorization.

457525782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737 (or 7734 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The square root of 457525782 is about 21389.8523136557. The cubic root of 457525782 is about 770.5577462358.

The spelling of 457525782 in words is "four hundred fifty-seven million, five hundred twenty-five thousand, seven hundred eighty-two".