1158422400 has 576 divisors, whose sum is σ = 4562766000. Its totient is φ = 278691840.

The previous prime is 1158422399. The next prime is 1158422401. The reversal of 1158422400 is 42248511.

It is an interprime number because it is at equal distance from previous prime (1158422399) and next prime (1158422401).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158422401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15868764 + ... + 15868836.

Almost surely, 2^1158422400 is an apocalyptic number.

1158422400 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 1158422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281383000).

1158422400 is an abundant number, since it is smaller than the sum of its proper divisors (3404343600).

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

1158422400 is a wasteful number, since it uses less digits than its factorization.

1158422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1158422400 is about 34035.6048866477. The cubic root of 1158422400 is about 1050.2410331007.

The spelling of 1158422400 in words is "one billion, one hundred fifty-eight million, four hundred twenty-two thousand, four hundred".