1830253920 has 96 divisors (see below), whose sum is σ = 6289436160. Its totient is φ = 443696640.

The previous prime is 1830253903. The next prime is 1830253921. The reversal of 1830253920 is 293520381.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830253921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168040 + ... + 178599.

It is an arithmetic number, because the mean of its divisors is an integer number (65514960).

Almost surely, 2^1830253920 is an apocalyptic number.

1830253920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1830253920 is an abundant number, since it is smaller than the sum of its proper divisors (4459182240).

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

1830253920 is a wasteful number, since it uses less digits than its factorization.

1830253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346668 (or 346660 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1830253920 is about 42781.4670155197. The cubic root of 1830253920 is about 1223.2177709532.

The spelling of 1830253920 in words is "one billion, eight hundred thirty million, two hundred fifty-three thousand, nine hundred twenty".