1791428240 has 120 divisors (see below), whose sum is σ = 4891508352. Its totient is φ = 608321280.

The previous prime is 1791428231. The next prime is 1791428251. The reversal of 1791428240 is 428241971.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1791428194 and 1791428203.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 417305 + ... + 421575.

Almost surely, 2^1791428240 is an apocalyptic number.

1791428240 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 1791428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445754176).

1791428240 is an abundant number, since it is smaller than the sum of its proper divisors (3100080112).

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

1791428240 is a wasteful number, since it uses less digits than its factorization.

1791428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 1791428240 is about 42325.2671580464. The cubic root of 1791428240 is about 1214.5063934530.

The spelling of 1791428240 in words is "one billion, seven hundred ninety-one million, four hundred twenty-eight thousand, two hundred forty".