395752448 has 176 divisors, whose sum is σ = 1012429824. Its totient is φ = 150405120.

The previous prime is 395752439. The next prime is 395752477. The reversal of 395752448 is 844257593.

It is a super-3 number, since 3×395752448³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2888636 + ... + 2888772.

Almost surely, 2^395752448 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 395752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506214912).

395752448 is an abundant number, since it is smaller than the sum of its proper divisors (616677376).

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

395752448 is a wasteful number, since it uses less digits than its factorization.

395752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 47.

The square root of 395752448 is about 19893.5277917216. The cubic root of 395752448 is about 734.1889942388.

The spelling of 395752448 in words is "three hundred ninety-five million, seven hundred fifty-two thousand, four hundred forty-eight".