1152668400 has 240 divisors, whose sum is σ = 4085925984. Its totient is φ = 275927040.

The previous prime is 1152668369. The next prime is 1152668431. The reversal of 1152668400 is 48662511.

It is an interprime number because it is at equal distance from previous prime (1152668369) and next prime (1152668431).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576202 + ... + 578198.

Almost surely, 2^1152668400 is an apocalyptic number.

1152668400 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 1152668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042962992).

1152668400 is an abundant number, since it is smaller than the sum of its proper divisors (2933257584).

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

1152668400 is a wasteful number, since it uses less digits than its factorization.

1152668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1152668400 is about 33950.9705310467. The cubic root of 1152668400 is about 1048.4992619512.

The spelling of 1152668400 in words is "one billion, one hundred fifty-two million, six hundred sixty-eight thousand, four hundred".