1904872032 has 384 divisors, whose sum is σ = 6827950080. Its totient is φ = 504299520.

The previous prime is 1904872003. The next prime is 1904872043. The reversal of 1904872032 is 2302784091.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9973057 + ... + 9973247.

It is an arithmetic number, because the mean of its divisors is an integer number (17781120).

Almost surely, 2^1904872032 is an apocalyptic number.

1904872032 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 1904872032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413975040).

1904872032 is an abundant number, since it is smaller than the sum of its proper divisors (4923078048).

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

1904872032 is a wasteful number, since it uses less digits than its factorization.

1904872032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1904872032 is about 43644.8396949743. The cubic root of 1904872032 is about 1239.6200778501.

The spelling of 1904872032 in words is "one billion, nine hundred four million, eight hundred seventy-two thousand, thirty-two".