1904212800 has 420 divisors, whose sum is σ = 8003133600. Its totient is φ = 435041280.

The previous prime is 1904212777. The next prime is 1904212859. The reversal of 1904212800 is 82124091.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906151 + ... + 908249.

It is an arithmetic number, because the mean of its divisors is an integer number (19055080).

Almost surely, 2^1904212800 is an apocalyptic number.

1904212800 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 1904212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001566800).

1904212800 is an abundant number, since it is smaller than the sum of its proper divisors (6098920800).

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

1904212800 is a wasteful number, since it uses less digits than its factorization.

1904212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1904212800 is about 43637.2868084165. The cubic root of 1904212800 is about 1239.4770601043.

Adding to 1904212800 its reverse (82124091), we get a palindrome (1986336891).

The spelling of 1904212800 in words is "one billion, nine hundred four million, two hundred twelve thousand, eight hundred".