1155398400 has 324 divisors, whose sum is σ = 4451447728. Its totient is φ = 284221440.

The previous prime is 1155398389. The next prime is 1155398411. The reversal of 1155398400 is 48935511.

1155398400 is a `hidden beast` number, since 11 + 553 + 98 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1155398389) and next prime (1155398411).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748029 + ... + 749571.

Almost surely, 2^1155398400 is an apocalyptic number.

1155398400 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 1155398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225723864).

1155398400 is an abundant number, since it is smaller than the sum of its proper divisors (3296049328).

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

1155398400 is a wasteful number, since it uses less digits than its factorization.

1155398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1155398400 is about 33991.1517898408. The cubic root of 1155398400 is about 1049.3263706454.

The spelling of 1155398400 in words is "one billion, one hundred fifty-five million, three hundred ninety-eight thousand, four hundred".