1900472112 has 640 divisors, whose sum is σ = 7466188800. Its totient is φ = 447897600.

The previous prime is 1900472053. The next prime is 1900472113. The reversal of 1900472112 is 2112740091.

1900472112 is a `hidden beast` number, since 190 + 0 + 472 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×1900472112² = 7223588496979481088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1900472113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19592448 + ... + 19592544.

It is an arithmetic number, because the mean of its divisors is an integer number (11665920).

Almost surely, 2^1900472112 is an apocalyptic number.

1900472112 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 1900472112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733094400).

1900472112 is an abundant number, since it is smaller than the sum of its proper divisors (5565716688).

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

1900472112 is a wasteful number, since it uses less digits than its factorization.

1900472112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1900472112 is about 43594.4045950854. The cubic root of 1900472112 is about 1238.6649071237.

The spelling of 1900472112 in words is "one billion, nine hundred million, four hundred seventy-two thousand, one hundred twelve".