803901440 has 104 divisors (see below), whose sum is σ = 2043490680. Its totient is φ = 302514176.

The previous prime is 803901421. The next prime is 803901467. The reversal of 803901440 is 44109308.

It can be written as a sum of positive squares in 4 ways, for example, as 296390656 + 507510784 = 17216^2 + 22528^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347006 + ... + 349314.

Almost surely, 2^803901440 is an apocalyptic number.

803901440 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 803901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021745340).

803901440 is an abundant number, since it is smaller than the sum of its proper divisors (1239589240).

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

803901440 is a wasteful number, since it uses less digits than its factorization.

803901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 803901440 is about 28353.1557326517. The cubic root of 803901440 is about 929.8243935594.

The spelling of 803901440 in words is "eight hundred three million, nine hundred one thousand, four hundred forty".