395629440 has 384 divisors, whose sum is σ = 1442949120. Its totient is φ = 91914240.

The previous prime is 395629433. The next prime is 395629477. The reversal of 395629440 is 44926593.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 395629392 and 395629401.

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 47 ways as a sum of consecutive naturals, for example, 12762225 + ... + 12762255.

It is an arithmetic number, because the mean of its divisors is an integer number (3757680).

Almost surely, 2^395629440 is an apocalyptic number.

395629440 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 395629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721474560).

395629440 is an abundant number, since it is smaller than the sum of its proper divisors (1047319680).

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

395629440 is a wasteful number, since it uses less digits than its factorization.

395629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 395629440 is about 19890.4358926596. The cubic root of 395629440 is about 734.1129193434.

The spelling of 395629440 in words is "three hundred ninety-five million, six hundred twenty-nine thousand, four hundred forty".