1797456960 has 336 divisors, whose sum is σ = 6871898880. Its totient is φ = 442091520.

The previous prime is 1797456949. The next prime is 1797456967. The reversal of 1797456960 is 696547971.

1797456960 is a `hidden beast` number, since 1 + 7 + 9 + 74 + 569 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1797456897 and 1797456906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1797456967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1459545 + ... + 1460775.

It is an arithmetic number, because the mean of its divisors is an integer number (20452080).

Almost surely, 2^1797456960 is an apocalyptic number.

1797456960 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 1797456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435949440).

1797456960 is an abundant number, since it is smaller than the sum of its proper divisors (5074441920).

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

1797456960 is a wasteful number, since it uses less digits than its factorization.

1797456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 1797456960 is about 42396.4262644860. The cubic root of 1797456960 is about 1215.8672667908.

The spelling of 1797456960 in words is "one billion, seven hundred ninety-seven million, four hundred fifty-six thousand, nine hundred sixty".