1058550400 has 96 divisors (see below), whose sum is σ = 2626199100. Its totient is φ = 421601280.

The previous prime is 1058550371. The next prime is 1058550421. The reversal of 1058550400 is 40558501.

It can be written as a sum of positive squares in 6 ways, for example, as 412577344 + 645973056 = 20312^2 + 25416^2 .

It is a super-2 number, since 2×1058550400² = 2241057898680320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937036 + ... + 938164.

Almost surely, 2^1058550400 is an apocalyptic number.

1058550400 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 1058550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313099550).

1058550400 is an abundant number, since it is smaller than the sum of its proper divisors (1567648700).

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

1058550400 is a wasteful number, since it uses less digits than its factorization.

1058550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 1058550400 is about 32535.3715208540. The cubic root of 1058550400 is about 1019.1478208440.

The spelling of 1058550400 in words is "one billion, fifty-eight million, five hundred fifty thousand, four hundred".