1903608252 has 432 divisors, whose sum is σ = 6744759840. Its totient is φ = 445906944.

The previous prime is 1903608247. The next prime is 1903608293. The reversal of 1903608252 is 2528063091.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7406908 + ... + 7407164.

It is an arithmetic number, because the mean of its divisors is an integer number (15612870).

Almost surely, 2^1903608252 is an apocalyptic number.

1903608252 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 1903608252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372379920).

1903608252 is an abundant number, since it is smaller than the sum of its proper divisors (4841151588).

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

1903608252 is a wasteful number, since it uses less digits than its factorization.

1903608252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1903608252 is about 43630.3592925843. The cubic root of 1903608252 is about 1239.3458768160.

The spelling of 1903608252 in words is "one billion, nine hundred three million, six hundred eight thousand, two hundred fifty-two".