457245087601 has 27 divisors (see below), whose sum is σ = 474608094561. Its totient is φ = 440513895744.

The previous prime is 457245087583. The next prime is 457245087641. The reversal of 457245087601 is 106780542754.

The square root of 457245087601 is 676199.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9603804001 + 447641283600 = 97999^2 + 669060^2 .

It is not a de Polignac number, because 457245087601 - 2⁷ = 457245087473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457245087641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2912389015 + ... + 2912389171.

Almost surely, 2^457245087601 is an apocalyptic number.

457245087601 is the 676199-th square number.

457245087601 is the 338100-th centered octagonal number.

It is an amenable number.

457245087601 is a deficient number, since it is larger than the sum of its proper divisors (17363006960).

457245087601 is an frugal number, since it uses more digits than its factorization.

457245087601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

Multiplying 457245087601 by its sum of digits (49), we get a square (22405009292449 = 4733393²).

The spelling of 457245087601 in words is "four hundred fifty-seven billion, two hundred forty-five million, eighty-seven thousand, six hundred one".