1793233440 has 432 divisors, whose sum is σ = 6758519040. Its totient is φ = 432414720.

The previous prime is 1793233417. The next prime is 1793233451. The reversal of 1793233440 is 443323971.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1793233395 and 1793233404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12900891 + ... + 12901029.

It is an arithmetic number, because the mean of its divisors is an integer number (15644720).

Almost surely, 2^1793233440 is an apocalyptic number.

1793233440 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 1793233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379259520).

1793233440 is an abundant number, since it is smaller than the sum of its proper divisors (4965285600).

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

1793233440 is a wasteful number, since it uses less digits than its factorization.

1793233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 1793233440 is about 42346.5871115961. The cubic root of 1793233440 is about 1214.9142041739.

The spelling of 1793233440 in words is "one billion, seven hundred ninety-three million, two hundred thirty-three thousand, four hundred forty".