1284517248 has 256 divisors, whose sum is σ = 4136140800. Its totient is φ = 345286656.

The previous prime is 1284517219. The next prime is 1284517253. The reversal of 1284517248 is 8427154821.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4883965 + ... + 4884227.

It is an arithmetic number, because the mean of its divisors is an integer number (16156800).

Almost surely, 2^1284517248 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 1284517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068070400).

1284517248 is an abundant number, since it is smaller than the sum of its proper divisors (2851623552).

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

1284517248 is a wasteful number, since it uses less digits than its factorization.

1284517248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 1284517248 is about 35840.1624996316. The cubic root of 1284517248 is about 1087.0428072121.

The spelling of 1284517248 in words is "one billion, two hundred eighty-four million, five hundred seventeen thousand, two hundred forty-eight".