1153346400 has 216 divisors, whose sum is σ = 4167248904. Its totient is φ = 299980800.

The previous prime is 1153346399. The next prime is 1153346437. The reversal of 1153346400 is 46433511.

1153346400 is a `hidden beast` number, since 1 + 15 + 3 + 3 + 4 + 640 + 0 = 666.

It is a congruent number.

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, 293247 + ... + 297153.

It is an arithmetic number, because the mean of its divisors is an integer number (19292819).

Almost surely, 2^1153346400 is an apocalyptic number.

1153346400 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 1153346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083624452).

1153346400 is an abundant number, since it is smaller than the sum of its proper divisors (3013902504).

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

1153346400 is a wasteful number, since it uses less digits than its factorization.

1153346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1153346400 is about 33960.9540502030. The cubic root of 1153346400 is about 1048.7047975487.

Adding to 1153346400 its reverse (46433511), we get a palindrome (1199779911).

The spelling of 1153346400 in words is "one billion, one hundred fifty-three million, three hundred forty-six thousand, four hundred".