397224576 has 288 divisors, whose sum is σ = 1378615680. Its totient is φ = 109347840.

The previous prime is 397224557. The next prime is 397224577. The reversal of 397224576 is 675422793.

397224576 is a `hidden beast` number, since 3 + 9 + 72 + 2 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (635040) is a multiple of the sum of its prime divisors (270).

It is not an unprimeable number, because it can be changed into a prime (397224577) 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 35 ways as a sum of consecutive naturals, for example, 1749775 + ... + 1750001.

It is an arithmetic number, because the mean of its divisors is an integer number (4786860).

Almost surely, 2^397224576 is an apocalyptic number.

397224576 is a gapful number since it is divisible by the number (36) 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 397224576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689307840).

397224576 is an abundant number, since it is smaller than the sum of its proper divisors (981391104).

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

397224576 is a wasteful number, since it uses less digits than its factorization.

397224576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 397224576 is about 19930.4936215840. The cubic root of 397224576 is about 735.0982181670.

The spelling of 397224576 in words is "three hundred ninety-seven million, two hundred twenty-four thousand, five hundred seventy-six".