1283808240 has 480 divisors, whose sum is σ = 5217541056. Its totient is φ = 278691840.

The previous prime is 1283808173. The next prime is 1283808247. The reversal of 1283808240 is 428083821.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1283808195 and 1283808204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283808247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3809352 + ... + 3809688.

Almost surely, 2^1283808240 is an apocalyptic number.

1283808240 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 1283808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608770528).

1283808240 is an abundant number, since it is smaller than the sum of its proper divisors (3933732816).

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

1283808240 is a wasteful number, since it uses less digits than its factorization.

1283808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1283808240 is about 35830.2698845543. The cubic root of 1283808240 is about 1086.8427673670.

The spelling of 1283808240 in words is "one billion, two hundred eighty-three million, eight hundred eight thousand, two hundred forty".