1904768000 has 176 divisors, whose sum is σ = 4966251264. Its totient is φ = 727654400.

The previous prime is 1904767987. The next prime is 1904768003. The reversal of 1904768000 is 8674091.

It is a super-2 number, since 2×1904768000² = 7256282267648000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904768003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2943677 + ... + 2944323.

Almost surely, 2^1904768000 is an apocalyptic number.

1904768000 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 1904768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483125632).

1904768000 is an abundant number, since it is smaller than the sum of its proper divisors (3061483264).

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

1904768000 is an equidigital number, since it uses as much as digits as its factorization.

1904768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1904768000 is about 43643.6478768675. The cubic root of 1904768000 is about 1239.5975107167.

The spelling of 1904768000 in words is "one billion, nine hundred four million, seven hundred sixty-eight thousand".