803946000 has 320 divisors, whose sum is σ = 3048304896. Its totient is φ = 179712000.

The previous prime is 803945983. The next prime is 803946001. The reversal of 803946000 is 649308.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803946001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857532 + ... + 858468.

Almost surely, 2^803946000 is an apocalyptic number.

803946000 is a gapful number since it is divisible by the number (80) 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 803946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524152448).

803946000 is an abundant number, since it is smaller than the sum of its proper divisors (2244358896).

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

803946000 is a wasteful number, since it uses less digits than its factorization.

803946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 803946000 is about 28353.9415249450. The cubic root of 803946000 is about 929.8415731983.

The spelling of 803946000 in words is "eight hundred three million, nine hundred forty-six thousand".