1059465040 has 80 divisors (see below), whose sum is σ = 2502339840. Its totient is φ = 417116160.

The previous prime is 1059465013. The next prime is 1059465047. The reversal of 1059465040 is 405649501.

1059465040 is digitally balanced in base 2, 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 (80).

It is a super-2 number, since 2×1059465040² = 2244932341964403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1059464987 and 1059465005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059465047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2413141 + ... + 2413579.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 2^1059465040 is an apocalyptic number.

1059465040 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 1059465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251169920).

1059465040 is an abundant number, since it is smaller than the sum of its proper divisors (1442874800).

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

1059465040 is a wasteful number, since it uses less digits than its factorization.

1059465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 1059465040 is about 32549.4245724867. The cubic root of 1059465040 is about 1019.4412677491.

The spelling of 1059465040 in words is "one billion, fifty-nine million, four hundred sixty-five thousand, forty".