1803978540 has 288 divisors, whose sum is σ = 6986004480. Its totient is φ = 380526336.

The previous prime is 1803978499. The next prime is 1803978563. The reversal of 1803978540 is 458793081.

1803978540 is a `hidden beast` number, since 1 + 8 + 0 + 39 + 78 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 440221 + ... + 444299.

It is an arithmetic number, because the mean of its divisors is an integer number (24256960).

Almost surely, 2^1803978540 is an apocalyptic number.

1803978540 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 1803978540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493002240).

1803978540 is an abundant number, since it is smaller than the sum of its proper divisors (5182025940).

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

1803978540 is a wasteful number, since it uses less digits than its factorization.

1803978540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1803978540 is about 42473.2685344559. The cubic root of 1803978540 is about 1217.3359723480.

The spelling of 1803978540 in words is "one billion, eight hundred three million, nine hundred seventy-eight thousand, five hundred forty".