457953525 has 18 divisors (see below), whose sum is σ = 820246050. Its totient is φ = 244241760.

The previous prime is 457953521. The next prime is 457953527. The reversal of 457953525 is 525359754.

457953525 is a `hidden beast` number, since 4 + 5 + 79 + 53 + 525 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 111323601 + 346629924 = 10551^2 + 18618^2 .

It is not a de Polignac number, because 457953525 - 2² = 457953521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457953521) 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 17 ways as a sum of consecutive naturals, for example, 1017450 + ... + 1017899.

It is an arithmetic number, because the mean of its divisors is an integer number (45569225).

Almost surely, 2^457953525 is an apocalyptic number.

457953525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

457953525 is a deficient number, since it is larger than the sum of its proper divisors (362292525).

457953525 is a wasteful number, since it uses less digits than its factorization.

457953525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035365 (or 2035357 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 457953525 is about 21399.8487144185. The cubic root of 457953525 is about 770.7978041249.

The spelling of 457953525 in words is "four hundred fifty-seven million, nine hundred fifty-three thousand, five hundred twenty-five".