1143475200 has 396 divisors, whose sum is σ = 4685664880. Its totient is φ = 260997120.

The previous prime is 1143475189. The next prime is 1143475211. The reversal of 1143475200 is 25743411.

1143475200 is a `hidden beast` number, since 114 + 347 + 5 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1143475189) and next prime (1143475211).

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, 1612446 + ... + 1613154.

Almost surely, 2^1143475200 is an apocalyptic number.

1143475200 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 1143475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342832440).

1143475200 is an abundant number, since it is smaller than the sum of its proper divisors (3542189680).

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

1143475200 is a wasteful number, since it uses less digits than its factorization.

1143475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1143475200 is about 33815.3101420052. The cubic root of 1143475200 is about 1045.7043548538.

The spelling of 1143475200 in words is "one billion, one hundred forty-three million, four hundred seventy-five thousand, two hundred".