1332783000 has 384 divisors, whose sum is σ = 4941181440. Its totient is φ = 322560000.

The previous prime is 1332782999. The next prime is 1332783019. The reversal of 1332783000 is 3872331.

1332783000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 4742860 + ... + 4743140.

It is an arithmetic number, because the mean of its divisors is an integer number (12867660).

Almost surely, 2^1332783000 is an apocalyptic number.

1332783000 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 1332783000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470590720).

1332783000 is an abundant number, since it is smaller than the sum of its proper divisors (3608398440).

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

1332783000 is a wasteful number, since it uses less digits than its factorization.

1332783000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1332783000 is about 36507.3006397351. The cubic root of 1332783000 is about 1100.4909654067.

The spelling of 1332783000 in words is "one billion, three hundred thirty-two million, seven hundred eighty-three thousand".