297680400 has 240 divisors, whose sum is σ = 1085853120. Its totient is φ = 77414400.

The previous prime is 297680363. The next prime is 297680407. The reversal of 297680400 is 4086792.

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

It is a super-2 number, since 2×297680400² = 177227241088320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (297680407) 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, 464080 + ... + 464720.

It is an arithmetic number, because the mean of its divisors is an integer number (4524388).

Almost surely, 2^297680400 is an apocalyptic number.

297680400 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 297680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542926560).

297680400 is an abundant number, since it is smaller than the sum of its proper divisors (788172720).

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

297680400 is a wasteful number, since it uses less digits than its factorization.

297680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 297680400 is about 17253.4170528623. The cubic root of 297680400 is about 667.7031322181.

The spelling of 297680400 in words is "two hundred ninety-seven million, six hundred eighty thousand, four hundred".