1154130400 has 72 divisors (see below), whose sum is σ = 2914735320. Its totient is φ = 445724160.

The previous prime is 1154130353. The next prime is 1154130427. The reversal of 1154130400 is 40314511.

It is a congruent number.

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, 1674 + ... + 48073.

It is an arithmetic number, because the mean of its divisors is an integer number (40482435).

Almost surely, 2^1154130400 is an apocalyptic number.

1154130400 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 1154130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457367660).

1154130400 is an abundant number, since it is smaller than the sum of its proper divisors (1760604920).

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

1154130400 is a wasteful number, since it uses less digits than its factorization.

1154130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49796 (or 49783 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1154130400 is about 33972.4947567882. The cubic root of 1154130400 is about 1048.9423666303.

Adding to 1154130400 its reverse (40314511), we get a palindrome (1194444911).

The spelling of 1154130400 in words is "one billion, one hundred fifty-four million, one hundred thirty thousand, four hundred".