1089482400 has 720 divisors, whose sum is σ = 4491837504. Its totient is φ = 255467520.

The previous prime is 1089482399. The next prime is 1089482413. The reversal of 1089482400 is 42849801.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25336779 + ... + 25336821.

Almost surely, 2^1089482400 is an apocalyptic number.

1089482400 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 1089482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245918752).

1089482400 is an abundant number, since it is smaller than the sum of its proper divisors (3402355104).

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

1089482400 is a wasteful number, since it uses less digits than its factorization.

1089482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1089482400 is about 33007.3082816518. The cubic root of 1089482400 is about 1028.9795404308.

The spelling of 1089482400 in words is "one billion, eighty-nine million, four hundred eighty-two thousand, four hundred".