397512000 has 168 divisors, whose sum is σ = 1422224232. Its totient is φ = 105984000.

The previous prime is 397511993. The next prime is 397512001. The reversal of 397512000 is 215793.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 356756544 = 6384^2 + 18888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397512001) 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 23 ways as a sum of consecutive naturals, for example, 69240 + ... + 74760.

Almost surely, 2^397512000 is an apocalyptic number.

397512000 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 397512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711112116).

397512000 is an abundant number, since it is smaller than the sum of its proper divisors (1024712232).

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

397512000 is a wasteful number, since it uses less digits than its factorization.

397512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 397512000 is about 19937.7029770232. The cubic root of 397512000 is about 735.2754763588.

Adding to 397512000 its reverse (215793), we get a palindrome (397727793).

The spelling of 397512000 in words is "three hundred ninety-seven million, five hundred twelve thousand".