1457344441 has 32 divisors (see below), whose sum is σ = 1817600000. Its totient is φ = 1140272640.

The previous prime is 1457344439. The next prime is 1457344451. The reversal of 1457344441 is 1444437541.

It is a cyclic number.

It is not a de Polignac number, because 1457344441 - 2¹ = 1457344439 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 1457344441.

It is not an unprimeable number, because it can be changed into a prime (1457344451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166185 + ... + 1167433.

It is an arithmetic number, because the mean of its divisors is an integer number (56800000).

Almost surely, 2^1457344441 is an apocalyptic number.

It is an amenable number.

1457344441 is a deficient number, since it is larger than the sum of its proper divisors (360255559).

1457344441 is a wasteful number, since it uses less digits than its factorization.

1457344441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589.

The product of its digits is 107520, while the sum is 37.

The square root of 1457344441 is about 38175.1809556942. The cubic root of 1457344441 is about 1133.7589703364.

The spelling of 1457344441 in words is "one billion, four hundred fifty-seven million, three hundred forty-four thousand, four hundred forty-one".