1659457440 has 144 divisors (see below), whose sum is σ = 5743011456. Its totient is φ = 436262400.

The previous prime is 1659457439. The next prime is 1659457447. The reversal of 1659457440 is 447549561.

1659457440 is a `hidden beast` number, since 1 + 6 + 594 + 57 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1659457447) 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, 94125 + ... + 110355.

It is an arithmetic number, because the mean of its divisors is an integer number (39882024).

Almost surely, 2^1659457440 is an apocalyptic number.

1659457440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1659457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871505728).

1659457440 is an abundant number, since it is smaller than the sum of its proper divisors (4083554016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1659457440 is a wasteful number, since it uses less digits than its factorization.

1659457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16323 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1659457440 is about 40736.4387250530. The cubic root of 1659457440 is about 1183.9191340558.

The spelling of 1659457440 in words is "one billion, six hundred fifty-nine million, four hundred fifty-seven thousand, four hundred forty".