1456859140 has 48 divisors (see below), whose sum is σ = 3340128960. Its totient is φ = 529354880.

The previous prime is 1456859113. The next prime is 1456859197. The reversal of 1456859140 is 419586541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539634 + ... + 542326.

It is an arithmetic number, because the mean of its divisors is an integer number (69586020).

Almost surely, 2^1456859140 is an apocalyptic number.

1456859140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456859140 is an abundant number, since it is smaller than the sum of its proper divisors (1883269820).

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

1456859140 is a wasteful number, since it uses less digits than its factorization.

1456859140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 1456859140 is about 38168.8241893826. The cubic root of 1456859140 is about 1133.6331077441.

The spelling of 1456859140 in words is "one billion, four hundred fifty-six million, eight hundred fifty-nine thousand, one hundred forty".