1058404800 has 168 divisors, whose sum is σ = 3623803776. Its totient is φ = 269941760.

The previous prime is 1058404799. The next prime is 1058404807. The reversal of 1058404800 is 84048501.

It is a super-2 number, since 2×1058404800² = 2240441441326080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058404807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105607 + ... + 115193.

Almost surely, 2^1058404800 is an apocalyptic number.

1058404800 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 1058404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811901888).

1058404800 is an abundant number, since it is smaller than the sum of its proper divisors (2565398976).

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

1058404800 is a wasteful number, since it uses less digits than its factorization.

1058404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9635 (or 9620 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1058404800 is about 32533.1338791700. The cubic root of 1058404800 is about 1019.1010919316.

The spelling of 1058404800 in words is "one billion, fifty-eight million, four hundred four thousand, eight hundred".