1903385952 has 288 divisors, whose sum is σ = 6369592320. Its totient is φ = 554273280.

The previous prime is 1903385923. The next prime is 1903385959. The reversal of 1903385952 is 2595833091.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1903385898 and 1903385907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1903385959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920177 + ... + 1921167.

It is an arithmetic number, because the mean of its divisors is an integer number (22116640).

Almost surely, 2^1903385952 is an apocalyptic number.

1903385952 is a gapful number since it is divisible by the number (12) 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 1903385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184796160).

1903385952 is an abundant number, since it is smaller than the sum of its proper divisors (4466206368).

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

1903385952 is a wasteful number, since it uses less digits than its factorization.

1903385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1903385952 is about 43627.8116801657. The cubic root of 1903385952 is about 1239.2976320659.

The spelling of 1903385952 in words is "one billion, nine hundred three million, three hundred eighty-five thousand, nine hundred fifty-two".