1089488400 has 480 divisors, whose sum is σ = 4691033088. Its totient is φ = 208742400.

The previous prime is 1089488399. The next prime is 1089488417. The reversal of 1089488400 is 48849801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1200747 + ... + 1201653.

Almost surely, 2^1089488400 is an apocalyptic number.

1089488400 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 1089488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345516544).

1089488400 is an abundant number, since it is smaller than the sum of its proper divisors (3601544688).

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

1089488400 is a wasteful number, since it uses less digits than its factorization.

1089488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1089488400 is about 33007.3991704890. The cubic root of 1089488400 is about 1028.9814293602.

The spelling of 1089488400 in words is "one billion, eighty-nine million, four hundred eighty-eight thousand, four hundred".