1283045940 has 192 divisors, whose sum is σ = 4427216640. Its totient is φ = 305856000.

The previous prime is 1283045909. The next prime is 1283045941. The reversal of 1283045940 is 495403821.

1283045940 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1283045895 and 1283045904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283045941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360570 + ... + 364110.

It is an arithmetic number, because the mean of its divisors is an integer number (23058420).

Almost surely, 2^1283045940 is an apocalyptic number.

1283045940 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 1283045940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213608320).

1283045940 is an abundant number, since it is smaller than the sum of its proper divisors (3144170700).

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

1283045940 is a wasteful number, since it uses less digits than its factorization.

1283045940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1283045940 is about 35819.6306513621. The cubic root of 1283045940 is about 1086.6276095129.

The spelling of 1283045940 in words is "one billion, two hundred eighty-three million, forty-five thousand, nine hundred forty".