1285794000 has 200 divisors, whose sum is σ = 4644968328. Its totient is φ = 342835200.

The previous prime is 1285793983. The next prime is 1285794007. The reversal of 1285794000 is 4975821.

It can be written as a sum of positive squares in 4 ways, for example, as 23270976 + 1262523024 = 4824^2 + 35532^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285794007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158032 + ... + 165968.

Almost surely, 2^1285794000 is an apocalyptic number.

1285794000 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 1285794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322484164).

1285794000 is an abundant number, since it is smaller than the sum of its proper divisors (3359174328).

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

1285794000 is an equidigital number, since it uses as much as digits as its factorization.

1285794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1285794000 is about 35857.9698254098. The cubic root of 1285794000 is about 1087.4028450662.

The spelling of 1285794000 in words is "one billion, two hundred eighty-five million, seven hundred ninety-four thousand".