297875808400 has 135 divisors (see below), whose sum is σ = 741963530113. Its totient is φ = 114919436800.

The previous prime is 297875808367. The next prime is 297875808481. The reversal of 297875808400 is 4808578792.

The square root of 297875808400 is 545780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 147815643024 + 150060165376 = 384468^2 + 387376^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 316551930 + ... + 316552870.

Almost surely, 2^297875808400 is an apocalyptic number.

297875808400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

297875808400 is the 545780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 297875808400

297875808400 is an abundant number, since it is smaller than the sum of its proper divisors (444087721713).

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

297875808400 is an frugal number, since it uses more digits than its factorization.

297875808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 297875808400 in words is "two hundred ninety-seven billion, eight hundred seventy-five million, eight hundred eight thousand, four hundred".