1152356400 has 180 divisors, whose sum is σ = 4306786848. Its totient is φ = 283645440.

The previous prime is 1152356377. The next prime is 1152356423. The reversal of 1152356400 is 46532511.

1152356400 is a `hidden beast` number, since 1 + 15 + 2 + 3 + 5 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1152356377) and next prime (1152356423).

It is a tau number, because it is divible by the number of its divisors (180).

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, 34489 + ... + 59111.

Almost surely, 2^1152356400 is an apocalyptic number.

1152356400 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 1152356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153393424).

1152356400 is an abundant number, since it is smaller than the sum of its proper divisors (3154430448).

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

1152356400 is a wasteful number, since it uses less digits than its factorization.

1152356400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24660 (or 24646 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1152356400 is about 33946.3753587920. The cubic root of 1152356400 is about 1048.4046521196.

Adding to 1152356400 its reverse (46532511), we get a palindrome (1198888911).

The spelling of 1152356400 in words is "one billion, one hundred fifty-two million, three hundred fifty-six thousand, four hundred".