1830230400 has 96 divisors (see below), whose sum is σ = 6028353000. Its totient is φ = 488058880.

The previous prime is 1830230351. The next prime is 1830230411. The reversal of 1830230400 is 40320381.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85725 + ... + 104924.

Almost surely, 2^1830230400 is an apocalyptic number.

1830230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1830230400 is an abundant number, since it is smaller than the sum of its proper divisors (4198122600).

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

1830230400 is a wasteful number, since it uses less digits than its factorization.

1830230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190676 (or 190659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1830230400 is about 42781.1921292523. The cubic root of 1830230400 is about 1223.2125312057.

Adding to 1830230400 its reverse (40320381), we get a palindrome (1870550781).

The spelling of 1830230400 in words is "one billion, eight hundred thirty million, two hundred thirty thousand, four hundred".