1283493120 has 288 divisors, whose sum is σ = 5046488832. Its totient is φ = 270729216.

The previous prime is 1283493097. The next prime is 1283493137. The reversal of 1283493120 is 213943821.

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, 347604 + ... + 351276.

Almost surely, 2^1283493120 is an apocalyptic number.

1283493120 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 1283493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523244416).

1283493120 is an abundant number, since it is smaller than the sum of its proper divisors (3762995712).

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

1283493120 is a wasteful number, since it uses less digits than its factorization.

1283493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1283493120 is about 35825.8722154814. The cubic root of 1283493120 is about 1086.7538356226.

The spelling of 1283493120 in words is "one billion, two hundred eighty-three million, four hundred ninety-three thousand, one hundred twenty".