1124268400 has 30 divisors (see below), whose sum is σ = 2701055792. Its totient is φ = 449707200.

The previous prime is 1124268329. The next prime is 1124268419. The reversal of 1124268400 is 48624211.

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 5 ways as a sum of consecutive naturals, for example, 1404936 + ... + 1405735.

Almost surely, 2^1124268400 is an apocalyptic number.

1124268400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124268400 is an abundant number, since it is smaller than the sum of its proper divisors (1576787392).

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

1124268400 is a wasteful number, since it uses less digits than its factorization.

1124268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810689 (or 2810678 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1124268400 is about 33530.1118399566. Note that the first 3 decimals coincide. The cubic root of 1124268400 is about 1039.8164123670.

The spelling of 1124268400 in words is "one billion, one hundred twenty-four million, two hundred sixty-eight thousand, four hundred".