397324800 has 180 divisors, whose sum is σ = 1422328050. Its totient is φ = 105922560.

The previous prime is 397324783. The next prime is 397324801. The reversal of 397324800 is 8423793.

It can be written as a sum of positive squares in 3 ways, for example, as 156950784 + 240374016 = 12528^2 + 15504^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (397324801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 113476 + ... + 116924.

Almost surely, 2^397324800 is an apocalyptic number.

397324800 is a gapful number since it is divisible by the number (30) 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 397324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711164025).

397324800 is an abundant number, since it is smaller than the sum of its proper divisors (1025003250).

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

397324800 is a wasteful number, since it uses less digits than its factorization.

397324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 397324800 is about 19933.0078011323. The cubic root of 397324800 is about 735.1600373434.

The spelling of 397324800 in words is "three hundred ninety-seven million, three hundred twenty-four thousand, eight hundred".