1904506080 has 192 divisors, whose sum is σ = 6241536000. Its totient is φ = 487618560.

The previous prime is 1904506063. The next prime is 1904506117. The reversal of 1904506080 is 806054091.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2216691 + ... + 2217549.

It is an arithmetic number, because the mean of its divisors is an integer number (32508000).

Almost surely, 2^1904506080 is an apocalyptic number.

1904506080 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 1904506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120768000).

1904506080 is an abundant number, since it is smaller than the sum of its proper divisors (4337029920).

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

1904506080 is a wasteful number, since it uses less digits than its factorization.

1904506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1904506080 is about 43640.6471079428. The cubic root of 1904506080 is about 1239.5406901025.

The spelling of 1904506080 in words is "one billion, nine hundred four million, five hundred six thousand, eighty".