1792409960 has 128 divisors (see below), whose sum is σ = 4819564800. Its totient is φ = 592220160.

The previous prime is 1792409959. The next prime is 1792409963. The reversal of 1792409960 is 699042971.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1792409963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212789 + ... + 221051.

It is an arithmetic number, because the mean of its divisors is an integer number (37652850).

Almost surely, 2^1792409960 is an apocalyptic number.

1792409960 is a gapful number since it is divisible by the number (10) 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 1792409960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409782400).

1792409960 is an abundant number, since it is smaller than the sum of its proper divisors (3027154840).

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

1792409960 is a wasteful number, since it uses less digits than its factorization.

1792409960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 1792409960 is about 42336.8628974798. The cubic root of 1792409960 is about 1214.7282066889.

The spelling of 1792409960 in words is "one billion, seven hundred ninety-two million, four hundred nine thousand, nine hundred sixty".