1993444992 has 480 divisors, whose sum is σ = 7485176160. Its totient is φ = 515496960.

The previous prime is 1993444991. The next prime is 1993445011. The reversal of 1993444992 is 2994443991.

It is a happy number.

1993444992 is a `hidden beast` number, since 199 + 3 + 4 + 449 + 9 + 2 = 666.

It is a super-2 number, since 2×1993444992² = 7947645872259760128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1993444991) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8781583 + ... + 8781809.

It is an arithmetic number, because the mean of its divisors is an integer number (15594117).

Almost surely, 2^1993444992 is an apocalyptic number.

1993444992 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 1993444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742588080).

1993444992 is an abundant number, since it is smaller than the sum of its proper divisors (5491731168).

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

1993444992 is a wasteful number, since it uses less digits than its factorization.

1993444992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 1993444992 is about 44648.0121841947. The cubic root of 1993444992 is about 1258.5430779335.

It can be divided in two parts, 1993 and 444992, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 1993444992 in words is "one billion, nine hundred ninety-three million, four hundred forty-four thousand, nine hundred ninety-two".