1900284672 has 270 divisors, whose sum is σ = 6024107460. Its totient is φ = 531548160.

The previous prime is 1900284649. The next prime is 1900284689. The reversal of 1900284672 is 2764820091.

It is a super-2 number, since 2×1900284672² = 7222163669276295168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1900284672.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 146175738 + ... + 146175750.

Almost surely, 2^1900284672 is an apocalyptic number.

1900284672 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 1900284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012053730).

1900284672 is an abundant number, since it is smaller than the sum of its proper divisors (4123822788).

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

1900284672 is an frugal number, since it uses more digits than its factorization.

1900284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1900284672 is about 43592.2547248935. The cubic root of 1900284672 is about 1238.6241833860.

The spelling of 1900284672 in words is "one billion, nine hundred million, two hundred eighty-four thousand, six hundred seventy-two".