1283874900 has 144 divisors (see below), whose sum is σ = 4631370240. Its totient is φ = 266774400.

The previous prime is 1283874853. The next prime is 1283874919. The reversal of 1283874900 is 94783821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 4690 + ... + 50889.

Almost surely, 2^1283874900 is an apocalyptic number.

1283874900 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 1283874900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315685120).

1283874900 is an abundant number, since it is smaller than the sum of its proper divisors (3347495340).

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

1283874900 is a wasteful number, since it uses less digits than its factorization.

1283874900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55614 (or 55607 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1283874900 is about 35831.2000915403. The cubic root of 1283874900 is about 1086.8615779865.

The spelling of 1283874900 in words is "one billion, two hundred eighty-three million, eight hundred seventy-four thousand, nine hundred".