1904064000 has 320 divisors, whose sum is σ = 6495869952. Its totient is φ = 494592000.

The previous prime is 1904063999. The next prime is 1904064031. The reversal of 1904064000 is 4604091.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9023895 + ... + 9024105.

Almost surely, 2^1904064000 is an apocalyptic number.

1904064000 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 1904064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247934976).

1904064000 is an abundant number, since it is smaller than the sum of its proper divisors (4591805952).

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

1904064000 is an equidigital number, since it uses as much as digits as its factorization.

1904064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1904064000 is about 43635.5818111779. The cubic root of 1904064000 is about 1239.4447739734. Note that the first 3 decimals are identical.

Adding to 1904064000 its reverse (4604091), we get a palindrome (1908668091).

The spelling of 1904064000 in words is "one billion, nine hundred four million, sixty-four thousand".