1739993472 has 192 divisors, whose sum is σ = 5770752000. Its totient is φ = 492936192.

The previous prime is 1739993467. The next prime is 1739993509. The reversal of 1739993472 is 2743999371.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1739993472² = 6055154565205229568, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1023279 + ... + 1024977.

It is an arithmetic number, because the mean of its divisors is an integer number (30056000).

Almost surely, 2^1739993472 is an apocalyptic number.

1739993472 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 1739993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885376000).

1739993472 is an abundant number, since it is smaller than the sum of its proper divisors (4030758528).

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

1739993472 is a wasteful number, since it uses less digits than its factorization.

1739993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1838 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 1739993472 is about 41713.2289807442. The cubic root of 1739993472 is about 1202.7698682723.

The spelling of 1739993472 in words is "one billion, seven hundred thirty-nine million, nine hundred ninety-three thousand, four hundred seventy-two".