1803648252 has 72 divisors (see below), whose sum is σ = 5183622864. Its totient is φ = 485011968.

The previous prime is 1803648251. The next prime is 1803648311. The reversal of 1803648252 is 2528463081.

It is a super-3 number, since 3×1803648252³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1803648252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1803648251) 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, 80223 + ... + 100214.

It is an arithmetic number, because the mean of its divisors is an integer number (71994762).

Almost surely, 2^1803648252 is an apocalyptic number.

1803648252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1803648252 is an abundant number, since it is smaller than the sum of its proper divisors (3379974612).

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

1803648252 is a wasteful number, since it uses less digits than its factorization.

1803648252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180475 (or 180466 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1803648252 is about 42469.3801697176. The cubic root of 1803648252 is about 1217.2616743458.

The spelling of 1803648252 in words is "one billion, eight hundred three million, six hundred forty-eight thousand, two hundred fifty-two".