1283877504 has 384 divisors, whose sum is σ = 4684068480. Its totient is φ = 328458240.

The previous prime is 1283877437. The next prime is 1283877509. The reversal of 1283877504 is 4057783821.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1283877504.

It is not an unprimeable number, because it can be changed into a prime (1283877509) by changing a digit.

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, 3878619 + ... + 3878949.

It is an arithmetic number, because the mean of its divisors is an integer number (12198095).

Almost surely, 2^1283877504 is an apocalyptic number.

1283877504 is a gapful number since it is divisible by the number (14) 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 1283877504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342034240).

1283877504 is an abundant number, since it is smaller than the sum of its proper divisors (3400190976).

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

1283877504 is a wasteful number, since it uses less digits than its factorization.

1283877504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1283877504 is about 35831.2364285689. The cubic root of 1283877504 is about 1086.8623127896.

The spelling of 1283877504 in words is "one billion, two hundred eighty-three million, eight hundred seventy-seven thousand, five hundred four".