1459345920 has 320 divisors, whose sum is σ = 5014500480. Its totient is φ = 360972288.

The previous prime is 1459345903. The next prime is 1459345931. The reversal of 1459345920 is 295439541.

1459345920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10652092 + ... + 10652228.

It is an arithmetic number, because the mean of its divisors is an integer number (15670314).

Almost surely, 2^1459345920 is an apocalyptic number.

1459345920 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 1459345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507250240).

1459345920 is an abundant number, since it is smaller than the sum of its proper divisors (3555154560).

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

1459345920 is a wasteful number, since it uses less digits than its factorization.

1459345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 1459345920 is about 38201.3863622775. The cubic root of 1459345920 is about 1134.2777579523.

The spelling of 1459345920 in words is "one billion, four hundred fifty-nine million, three hundred forty-five thousand, nine hundred twenty".