1283283540 has 288 divisors, whose sum is σ = 5067619200. Its totient is φ = 266595840.

The previous prime is 1283283527. The next prime is 1283283557. The reversal of 1283283540 is 453823821.

1283283540 is a `hidden beast` number, since 1 + 2 + 8 + 32 + 83 + 540 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1283283495 and 1283283504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288856 + ... + 293264.

It is an arithmetic number, because the mean of its divisors is an integer number (17595900).

Almost surely, 2^1283283540 is an apocalyptic number.

1283283540 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 1283283540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533809600).

1283283540 is an abundant number, since it is smaller than the sum of its proper divisors (3784335660).

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

1283283540 is a wasteful number, since it uses less digits than its factorization.

1283283540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1283283540 is about 35822.9471149430. The cubic root of 1283283540 is about 1086.6946808407.

The spelling of 1283283540 in words is "one billion, two hundred eighty-three million, two hundred eighty-three thousand, five hundred forty".