1459347456 has 224 divisors, whose sum is σ = 4718304000. Its totient is φ = 391643136.

The previous prime is 1459347437. The next prime is 1459347521. The reversal of 1459347456 is 6547439541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2924295 + ... + 2924793.

Almost surely, 2^1459347456 is an apocalyptic number.

1459347456 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 1459347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359152000).

1459347456 is an abundant number, since it is smaller than the sum of its proper divisors (3258956544).

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

1459347456 is an equidigital number, since it uses as much as digits as its factorization.

1459347456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 528 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 1459347456 is about 38201.4064662546. The cubic root of 1459347456 is about 1134.2781559046.

The spelling of 1459347456 in words is "one billion, four hundred fifty-nine million, three hundred forty-seven thousand, four hundred fifty-six".