1283385600 has 432 divisors, whose sum is σ = 5383405440. Its totient is φ = 293068800.

The previous prime is 1283385599. The next prime is 1283385601. The reversal of 1283385600 is 65833821.

1283385600 is a `hidden beast` number, since 12 + 8 + 3 + 38 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1283385599) and next prime (1283385601).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (1283385601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209070 + ... + 1210130.

Almost surely, 2^1283385600 is an apocalyptic number.

1283385600 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 1283385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691702720).

1283385600 is an abundant number, since it is smaller than the sum of its proper divisors (4100019840).

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

1283385600 is a wasteful number, since it uses less digits than its factorization.

1283385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1078 counting only the distinct ones).

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

The square root of 1283385600 is about 35824.3715925346. The cubic root of 1283385600 is about 1086.7234884829.

The spelling of 1283385600 in words is "one billion, two hundred eighty-three million, three hundred eighty-five thousand, six hundred".