1282811904 has 480 divisors, whose sum is σ = 4518914400. Its totient is φ = 358318080.

The previous prime is 1282811869. The next prime is 1282811921. The reversal of 1282811904 is 4091182821.

It is a happy number.

It is a super-3 number, since 3×1282811904³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34670574 + ... + 34670610.

It is an arithmetic number, because the mean of its divisors is an integer number (9414405).

Almost surely, 2^1282811904 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 1282811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259457200).

1282811904 is an abundant number, since it is smaller than the sum of its proper divisors (3236102496).

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

1282811904 is a wasteful number, since it uses less digits than its factorization.

1282811904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1282811904 is about 35816.3636345177. The cubic root of 1282811904 is about 1086.5615361595.

The spelling of 1282811904 in words is "one billion, two hundred eighty-two million, eight hundred eleven thousand, nine hundred four".