1904896832400 has 135 divisors (see below), whose sum is σ = 6610808535409. Its totient is φ = 507950405760.

The previous prime is 1904896832393. The next prime is 1904896832411. The reversal of 1904896832400 is 42386984091.

The square root of 1904896832400 is 1380180.

It is a perfect power (a square), and thus also a powerful number.

1904896832400 is a `hidden beast` number, since 1 + 90 + 489 + 6 + 8 + 32 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 685762859664 + 1219133972736 = 828108^2 + 1104144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82799299 + ... + 82822301.

Almost surely, 2^{1904896832400} is an apocalyptic number.

1904896832400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1904896832400 is the 1380180-th square number.

It is an amenable number.

1904896832400 is an abundant number, since it is smaller than the sum of its proper divisors (4705911703009).

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

1904896832400 is an frugal number, since it uses more digits than its factorization.

1904896832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46030 (or 23013 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1904896832400 in words is "one trillion, nine hundred four billion, eight hundred ninety-six million, eight hundred thirty-two thousand, four hundred".