297382406400 has 864 divisors, whose sum is σ = 1170206352000. Its totient is φ = 73667543040.

The previous prime is 297382406339. The next prime is 297382406429. The reversal of 297382406400 is 4604283792.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 174008746 + ... + 174010454.

It is an arithmetic number, because the mean of its divisors is an integer number (1354405500).

Almost surely, 2^297382406400 is an apocalyptic number.

297382406400 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 297382406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585103176000).

297382406400 is an abundant number, since it is smaller than the sum of its proper divisors (872823945600).

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

297382406400 is a wasteful number, since it uses less digits than its factorization.

297382406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 297382406400 in words is "two hundred ninety-seven billion, three hundred eighty-two million, four hundred six thousand, four hundred".