297768240 has 480 divisors, whose sum is σ = 1286917632. Its totient is φ = 59904000.

The previous prime is 297768239. The next prime is 297768283. The reversal of 297768240 is 42867792.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2272975 + ... + 2273105.

Almost surely, 2^297768240 is an apocalyptic number.

297768240 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 297768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

297768240 is an abundant number, since it is smaller than the sum of its proper divisors (989149392).

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

297768240 is a wasteful number, since it uses less digits than its factorization.

297768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 297768240 is about 17255.9624478034. The cubic root of 297768240 is about 667.7688013890.

It can be divided in two parts, 2977 and 68240, that added together give a palindrome (71217).

The spelling of 297768240 in words is "two hundred ninety-seven million, seven hundred sixty-eight thousand, two hundred forty".