4395057408 has 216 divisors, whose sum is σ = 15020195008. Its totient is φ = 1255606272.

The previous prime is 4395057349. The next prime is 4395057431. The reversal of 4395057408 is 8047505934.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430410 + ... + 440502.

Almost surely, 2^4395057408 is an apocalyptic number.

4395057408 is a gapful number since it is divisible by the number (48) 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 4395057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510097504).

4395057408 is an abundant number, since it is smaller than the sum of its proper divisors (10625137600).

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

4395057408 is an equidigital number, since it uses as much as digits as its factorization.

4395057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10131 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4395057408 is about 66295.2291496153. The cubic root of 4395057408 is about 1638.0287399860.

The spelling of 4395057408 in words is "four billion, three hundred ninety-five million, fifty-seven thousand, four hundred eight".