1153398400 has 384 divisors, whose sum is σ = 3691192320. Its totient is φ = 345600000.

The previous prime is 1153398391. The next prime is 1153398409. The reversal of 1153398400 is 48933511.

It is an interprime number because it is at equal distance from previous prime (1153398391) and next prime (1153398409).

It is not an unprimeable number, because it can be changed into a prime (1153398409) 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, 7638325 + ... + 7638475.

It is an arithmetic number, because the mean of its divisors is an integer number (9612480).

Almost surely, 2^1153398400 is an apocalyptic number.

1153398400 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 1153398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845596160).

1153398400 is an abundant number, since it is smaller than the sum of its proper divisors (2537793920).

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

1153398400 is a wasteful number, since it uses less digits than its factorization.

1153398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1153398400 is about 33961.7196266620. The cubic root of 1153398400 is about 1048.7205580146.

The spelling of 1153398400 in words is "one billion, one hundred fifty-three million, three hundred ninety-eight thousand, four hundred".