1903878240 has 192 divisors, whose sum is σ = 6602383872. Its totient is φ = 457318400.

The previous prime is 1903878233. The next prime is 1903878247. The reversal of 1903878240 is 428783091.

It is an interprime number because it is at equal distance from previous prime (1903878233) and next prime (1903878247).

It is a junction number, because it is equal to n+sod(n) for n = 1903878192 and 1903878201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1903878247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595045 + ... + 598235.

It is an arithmetic number, because the mean of its divisors is an integer number (34387416).

Almost surely, 2^1903878240 is an apocalyptic number.

1903878240 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 1903878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301191936).

1903878240 is an abundant number, since it is smaller than the sum of its proper divisors (4698505632).

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

1903878240 is a wasteful number, since it uses less digits than its factorization.

1903878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1903878240 is about 43633.4532211238. The cubic root of 1903878240 is about 1239.4044660235.

The spelling of 1903878240 in words is "one billion, nine hundred three million, eight hundred seventy-eight thousand, two hundred forty".