1459126872 has 160 divisors (see below), whose sum is σ = 4691934720. Its totient is φ = 415005120.

The previous prime is 1459126861. The next prime is 1459126883. The reversal of 1459126872 is 2786219541.

1459126872 is a `hidden beast` number, since 1 + 459 + 126 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1459126861) and next prime (1459126883).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1228663 + ... + 1229849.

It is an arithmetic number, because the mean of its divisors is an integer number (29324592).

Almost surely, 2^1459126872 is an apocalyptic number.

1459126872 is a gapful number since it is divisible by the number (12) 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 1459126872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345967360).

1459126872 is an abundant number, since it is smaller than the sum of its proper divisors (3232807848).

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

1459126872 is a wasteful number, since it uses less digits than its factorization.

1459126872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1470 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1459126872 is about 38198.5192383160. The cubic root of 1459126872 is about 1134.2210033695.

The spelling of 1459126872 in words is "one billion, four hundred fifty-nine million, one hundred twenty-six thousand, eight hundred seventy-two".