395704320 has 192 divisors, whose sum is σ = 1382209920. Its totient is φ = 95846400.

The previous prime is 395704319. The next prime is 395704343. The reversal of 395704320 is 23407593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 337335 + ... + 338505.

It is an arithmetic number, because the mean of its divisors is an integer number (7199010).

Almost surely, 2^395704320 is an apocalyptic number.

395704320 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 395704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691104960).

395704320 is an abundant number, since it is smaller than the sum of its proper divisors (986505600).

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

395704320 is a wasteful number, since it uses less digits than its factorization.

395704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 395704320 is about 19892.3181152926. The cubic root of 395704320 is about 734.1592311209.

The spelling of 395704320 in words is "three hundred ninety-five million, seven hundred four thousand, three hundred twenty".