1138298400 has 288 divisors, whose sum is σ = 4155984000. Its totient is φ = 300672000.

The previous prime is 1138298389. The next prime is 1138298407. The reversal of 1138298400 is 48928311.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1138298407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3261426 + ... + 3261774.

It is an arithmetic number, because the mean of its divisors is an integer number (14430500).

Almost surely, 2^1138298400 is an apocalyptic number.

1138298400 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 1138298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077992000).

1138298400 is an abundant number, since it is smaller than the sum of its proper divisors (3017685600).

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

1138298400 is a wasteful number, since it uses less digits than its factorization.

1138298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1138298400 is about 33738.6781009571. The cubic root of 1138298400 is about 1044.1239118349.

The spelling of 1138298400 in words is "one billion, one hundred thirty-eight million, two hundred ninety-eight thousand, four hundred".