1984416900 has 72 divisors (see below), whose sum is σ = 5746194720. Its totient is φ = 528752640.

The previous prime is 1984416887. The next prime is 1984416913. The reversal of 1984416900 is 96144891.

It is an interprime number because it is at equal distance from previous prime (1984416887) and next prime (1984416913).

It is a super-2 number, since 2×1984416900² = 7875820866011220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594436 + ... + 597764.

It is an arithmetic number, because the mean of its divisors is an integer number (79808260).

Almost surely, 2^1984416900 is an apocalyptic number.

1984416900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1984416900 is an abundant number, since it is smaller than the sum of its proper divisors (3761777820).

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

1984416900 is a wasteful number, since it uses less digits than its factorization.

1984416900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1984416900 is about 44546.7944974720. The cubic root of 1984416900 is about 1256.6402683405.

The spelling of 1984416900 in words is "one billion, nine hundred eighty-four million, four hundred sixteen thousand, nine hundred".