1457447541 has 24 divisors (see below), whose sum is σ = 2188103232. Its totient is φ = 861748800.

The previous prime is 1457447531. The next prime is 1457447549.

1457447541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1457447541 - 2⁹ = 1457447029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1457447493 and 1457447502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457447549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34081 + ... + 63846.

It is an arithmetic number, because the mean of its divisors is an integer number (91170968).

Almost surely, 2^1457447541 is an apocalyptic number.

1457447541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1457447541 is a deficient number, since it is larger than the sum of its proper divisors (730655691).

1457447541 is a wasteful number, since it uses less digits than its factorization.

1457447541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97993 (or 97982 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The square root of 1457447541 is about 38176.5312855948. The cubic root of 1457447541 is about 1133.7857056755.

The spelling of 1457447541 in words is "one billion, four hundred fifty-seven million, four hundred forty-seven thousand, five hundred forty-one".