1904407872 has 112 divisors (see below), whose sum is σ = 5300301312. Its totient is φ = 602634240.

The previous prime is 1904407801. The next prime is 1904407877. The reversal of 1904407872 is 2787044091.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1904407877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 312438 + ... + 318474.

Almost surely, 2^1904407872 is an apocalyptic number.

1904407872 is a gapful number since it is divisible by the number (12) 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 1904407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650150656).

1904407872 is an abundant number, since it is smaller than the sum of its proper divisors (3395893440).

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

1904407872 is a wasteful number, since it uses less digits than its factorization.

1904407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1904407872 is about 43639.5219038889. The cubic root of 1904407872 is about 1239.5193836326.

The spelling of 1904407872 in words is "one billion, nine hundred four million, four hundred seven thousand, eight hundred seventy-two".