1142857200 has 60 divisors (see below), whose sum is σ = 3660956408. Its totient is φ = 304761600.

The previous prime is 1142857193. The next prime is 1142857207. The reversal of 1142857200 is 27582411.

It is an interprime number because it is at equal distance from previous prime (1142857193) and next prime (1142857207).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1142857200² = 2612245159183680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142857207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474991 + ... + 477390.

Almost surely, 2^1142857200 is an apocalyptic number.

1142857200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142857200 is an abundant number, since it is smaller than the sum of its proper divisors (2518099208).

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

1142857200 is a wasteful number, since it uses less digits than its factorization.

1142857200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952402 (or 952391 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1142857200 is about 33806.1710342949. The cubic root of 1142857200 is about 1045.5159345747.

The spelling of 1142857200 in words is "one billion, one hundred forty-two million, eight hundred fifty-seven thousand, two hundred".