1154230400 has 96 divisors (see below), whose sum is σ = 2878811280. Its totient is φ = 457241600.

The previous prime is 1154230391. The next prime is 1154230403. The reversal of 1154230400 is 40324511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1154230403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340715 + ... + 344085.

Almost surely, 2^1154230400 is an apocalyptic number.

1154230400 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 1154230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439405640).

1154230400 is an abundant number, since it is smaller than the sum of its proper divisors (1724580880).

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

1154230400 is a wasteful number, since it uses less digits than its factorization.

1154230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1154230400 is about 33973.9665037805. The cubic root of 1154230400 is about 1048.9726610717.

Adding to 1154230400 its reverse (40324511), we get a palindrome (1194554911).

The spelling of 1154230400 in words is "one billion, one hundred fifty-four million, two hundred thirty thousand, four hundred".