1154880000 has 300 divisors, whose sum is σ = 4175380638. Its totient is φ = 307200000.

The previous prime is 1154879993. The next prime is 1154880007. The reversal of 1154880000 is 884511.

It is an interprime number because it is at equal distance from previous prime (1154879993) and next prime (1154880007).

It can be written as a sum of positive squares in 5 ways, for example, as 219988224 + 934891776 = 14832^2 + 30576^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is not an unprimeable number, because it can be changed into a prime (1154880007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879800 + ... + 2880200.

Almost surely, 2^1154880000 is an apocalyptic number.

1154880000 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 1154880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087690319).

1154880000 is an abundant number, since it is smaller than the sum of its proper divisors (3020500638).

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

1154880000 is an frugal number, since it uses more digits than its factorization.

1154880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1154880000 is about 33983.5254204151. The cubic root of 1154880000 is about 1049.1694111740.

The spelling of 1154880000 in words is "one billion, one hundred fifty-four million, eight hundred eighty thousand".