1059430400 has 168 divisors, whose sum is σ = 3006608160. Its totient is φ = 362741760.

The previous prime is 1059430391. The next prime is 1059430417. The reversal of 1059430400 is 40349501.

It is a super-2 number, since 2×1059430400² = 2244785544888320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1059430400.

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 11 ways as a sum of consecutive naturals, for example, 1433231 + ... + 1433969.

Almost surely, 2^1059430400 is an apocalyptic number.

1059430400 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 1059430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503304080).

1059430400 is an abundant number, since it is smaller than the sum of its proper divisors (1947177760).

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

1059430400 is an frugal number, since it uses more digits than its factorization.

1059430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1059430400 is about 32548.8924542756. The cubic root of 1059430400 is about 1019.4301571637.

Adding to 1059430400 its reverse (40349501), we get a palindrome (1099779901).

The spelling of 1059430400 in words is "one billion, fifty-nine million, four hundred thirty thousand, four hundred".