297768960 has 240 divisors, whose sum is σ = 1070269200. Its totient is φ = 79183872.

The previous prime is 297768949. The next prime is 297768967. The reversal of 297768960 is 69867792.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 297768897 and 297768906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297768967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829261 + ... + 829619.

It is an arithmetic number, because the mean of its divisors is an integer number (4459455).

Almost surely, 2^297768960 is an apocalyptic number.

297768960 is a gapful number since it is divisible by the number (20) 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 297768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535134600).

297768960 is an abundant number, since it is smaller than the sum of its proper divisors (772500240).

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

297768960 is an equidigital number, since it uses as much as digits as its factorization.

297768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 297768960 is about 17255.9833101449. The cubic root of 297768960 is about 667.7693396075.

The spelling of 297768960 in words is "two hundred ninety-seven million, seven hundred sixty-eight thousand, nine hundred sixty".