1459789056 has 216 divisors, whose sum is σ = 4629905280. Its totient is φ = 438681600.

The previous prime is 1459789049. The next prime is 1459789061. The reversal of 1459789056 is 6509879541.

It is a super-2 number, since 2×1459789056² = 4261968176034742272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1459788993 and 1459789011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6057096 + ... + 6057336.

Almost surely, 2^1459789056 is an apocalyptic number.

1459789056 is a gapful number since it is divisible by the number (16) 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 1459789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314952640).

1459789056 is an abundant number, since it is smaller than the sum of its proper divisors (3170116224).

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

1459789056 is a wasteful number, since it uses less digits than its factorization.

1459789056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 1459789056 is about 38207.1859209757. The cubic root of 1459789056 is about 1134.3925556011.

The spelling of 1459789056 in words is "one billion, four hundred fifty-nine million, seven hundred eighty-nine thousand, fifty-six".