1283141904 has 80 divisors (see below), whose sum is σ = 3704387904. Its totient is φ = 379340800.

The previous prime is 1283141879. The next prime is 1283141921. The reversal of 1283141904 is 4091413821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 7989 + ... + 51284.

Almost surely, 2^1283141904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283141904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852193952).

1283141904 is an abundant number, since it is smaller than the sum of its proper divisors (2421246000).

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

1283141904 is a wasteful number, since it uses less digits than its factorization.

1283141904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59336 (or 59330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1283141904 is about 35820.9701711162. The cubic root of 1283141904 is about 1086.6546998737.

The spelling of 1283141904 in words is "one billion, two hundred eighty-three million, one hundred forty-one thousand, nine hundred four".