395164224 has 336 divisors, whose sum is σ = 1459382400. Its totient is φ = 103928832.

The previous prime is 395164213. The next prime is 395164249. The reversal of 395164224 is 422461593.

It is a happy number.

395164224 is a `hidden beast` number, since 3 + 9 + 5 + 1 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100557 + ... + 1100915.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^395164224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729691200).

395164224 is an abundant number, since it is smaller than the sum of its proper divisors (1064218176).

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

395164224 is a wasteful number, since it uses less digits than its factorization.

395164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 384 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 395164224 is about 19878.7379881118. The cubic root of 395164224 is about 733.8250615718.

The spelling of 395164224 in words is "three hundred ninety-five million, one hundred sixty-four thousand, two hundred twenty-four".