1797053440 has 528 divisors, whose sum is σ = 5880621600. Its totient is φ = 520224768.

The previous prime is 1797053417. The next prime is 1797053443. The reversal of 1797053440 is 443507971.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1797053393 and 1797053402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1797053443) 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 47 ways as a sum of consecutive naturals, for example, 61967346 + ... + 61967374.

Almost surely, 2^1797053440 is an apocalyptic number.

1797053440 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 1797053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940310800).

1797053440 is an abundant number, since it is smaller than the sum of its proper divisors (4083568160).

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

1797053440 is a wasteful number, since it uses less digits than its factorization.

1797053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 1797053440 is about 42391.6671056943. The cubic root of 1797053440 is about 1215.7762746300.

The spelling of 1797053440 in words is "one billion, seven hundred ninety-seven million, fifty-three thousand, four hundred forty".