1154944000 has 176 divisors, whose sum is σ = 3295506240. Its totient is φ = 395673600.

The previous prime is 1154943991. The next prime is 1154944003. The reversal of 1154944000 is 4494511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1154944000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154944003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895356 + ... + 896644.

Almost surely, 2^1154944000 is an apocalyptic number.

1154944000 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 1154944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647753120).

1154944000 is an abundant number, since it is smaller than the sum of its proper divisors (2140562240).

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

1154944000 is an equidigital number, since it uses as much as digits as its factorization.

1154944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1154944000 is about 33984.4670401052. The cubic root of 1154944000 is about 1049.1887914276.

The spelling of 1154944000 in words is "one billion, one hundred fifty-four million, nine hundred forty-four thousand".