397659600 has 360 divisors, whose sum is σ = 1542635640. Its totient is φ = 94187520.

The previous prime is 397659593. The next prime is 397659601. The reversal of 397659600 is 6956793.

397659600 is a `hidden beast` number, since 39 + 7 + 6 + 5 + 9 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 72795024 + 324864576 = 8532^2 + 18024^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397659601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1357054 + ... + 1357346.

It is an arithmetic number, because the mean of its divisors is an integer number (4285099).

Almost surely, 2^397659600 is an apocalyptic number.

397659600 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 397659600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771317820).

397659600 is an abundant number, since it is smaller than the sum of its proper divisors (1144976040).

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

397659600 is a wasteful number, since it uses less digits than its factorization.

397659600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 397659600 is about 19941.4041631977. The cubic root of 397659600 is about 735.3664700317.

The spelling of 397659600 in words is "three hundred ninety-seven million, six hundred fifty-nine thousand, six hundred".