1158348400 has 120 divisors (see below), whose sum is σ = 3110457168. Its totient is φ = 410880000.

The previous prime is 1158348391. The next prime is 1158348409. The reversal of 1158348400 is 48438511.

It is an interprime number because it is at equal distance from previous prime (1158348391) and next prime (1158348409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158348409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177190 + ... + 183610.

Almost surely, 2^1158348400 is an apocalyptic number.

1158348400 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 1158348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555228584).

1158348400 is an abundant number, since it is smaller than the sum of its proper divisors (1952108768).

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

1158348400 is a wasteful number, since it uses less digits than its factorization.

1158348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1158348400 is about 34034.5177724028. The cubic root of 1158348400 is about 1050.2186694990.

The spelling of 1158348400 in words is "one billion, one hundred fifty-eight million, three hundred forty-eight thousand, four hundred".