1803461440 has 168 divisors, whose sum is σ = 4825691136. Its totient is φ = 641203200.

The previous prime is 1803461377. The next prime is 1803461449. The reversal of 1803461440 is 441643081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1803461449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819345 + ... + 1820335.

It is an arithmetic number, because the mean of its divisors is an integer number (28724352).

Almost surely, 2^1803461440 is an apocalyptic number.

1803461440 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 1803461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412845568).

1803461440 is an abundant number, since it is smaller than the sum of its proper divisors (3022229696).

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

1803461440 is a wasteful number, since it uses less digits than its factorization.

1803461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1803461440 is about 42467.1807399549. The cubic root of 1803461440 is about 1217.2196471307.

The spelling of 1803461440 in words is "one billion, eight hundred three million, four hundred sixty-one thousand, four hundred forty".