657901441 has 8 divisors (see below), whose sum is σ = 672382080. Its totient is φ = 643441008.

The previous prime is 657901421. The next prime is 657901459. The reversal of 657901441 is 144109756.

657901441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 657901441 - 2¹⁹ = 657377153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 657901441.

It is not an unprimeable number, because it can be changed into a prime (657901421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74250 + ... + 82636.

It is an arithmetic number, because the mean of its divisors is an integer number (84047760).

Almost surely, 2^657901441 is an apocalyptic number.

It is an amenable number.

657901441 is a deficient number, since it is larger than the sum of its proper divisors (14480639).

657901441 is a wasteful number, since it uses less digits than its factorization.

657901441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 657901441 is about 25649.5894898924. The cubic root of 657901441 is about 869.7349970173.

Subtracting from 657901441 its product of nonzero digits (30240), we obtain a square (657871201 = 25649²).

The spelling of 657901441 in words is "six hundred fifty-seven million, nine hundred one thousand, four hundred forty-one".