1143792400 has 135 divisors (see below), whose sum is σ = 2933155551. Its totient is φ = 428567040.

The previous prime is 1143792371. The next prime is 1143792421. The reversal of 1143792400 is 42973411.

The square root of 1143792400 is 33820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 238023184 + 905769216 = 15428^2 + 30096^2 .

It is a super-2 number, since 2×1143792400² = 2616522108595520000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12851556 + ... + 12851644.

Almost surely, 2^1143792400 is an apocalyptic number.

1143792400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1143792400 is the 33820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143792400

1143792400 is an abundant number, since it is smaller than the sum of its proper divisors (1789363151).

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

1143792400 is an equidigital number, since it uses as much as digits as its factorization.

1143792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The cubic root of 1143792400 is about 1045.8010387041.

The spelling of 1143792400 in words is "one billion, one hundred forty-three million, seven hundred ninety-two thousand, four hundred".