1684468800 has 504 divisors, whose sum is σ = 7252142976. Its totient is φ = 362004480.

The previous prime is 1684468787. The next prime is 1684468801. The reversal of 1684468800 is 88644861.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1684468801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1713109 + ... + 1714091.

Almost surely, 2^1684468800 is an apocalyptic number.

1684468800 is a gapful number since it is divisible by the number (10) 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 1684468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626071488).

1684468800 is an abundant number, since it is smaller than the sum of its proper divisors (5567674176).

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

1684468800 is a wasteful number, since it uses less digits than its factorization.

1684468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1684468800 is about 41042.2806383856. The cubic root of 1684468800 is about 1189.8375128284.

The spelling of 1684468800 in words is "one billion, six hundred eighty-four million, four hundred sixty-eight thousand, eight hundred".