1457128309 has 24 divisors (see below), whose sum is σ = 1861458432. Its totient is φ = 1115674560.

The previous prime is 1457128291. The next prime is 1457128319. The reversal of 1457128309 is 9038217541.

It is not a de Polignac number, because 1457128309 - 2⁹ = 1457127797 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457128319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16807 + ... + 56539.

It is an arithmetic number, because the mean of its divisors is an integer number (77560768).

Almost surely, 2^1457128309 is an apocalyptic number.

It is an amenable number.

1457128309 is a deficient number, since it is larger than the sum of its proper divisors (404330123).

1457128309 is a wasteful number, since it uses less digits than its factorization.

1457128309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39797 (or 39784 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1457128309 is about 38172.3500586485. The cubic root of 1457128309 is about 1133.7029200526.

The spelling of 1457128309 in words is "one billion, four hundred fifty-seven million, one hundred twenty-eight thousand, three hundred nine".