395949652448 has 144 divisors (see below), whose sum is σ = 955119528720. Its totient is φ = 160660813824.

The previous prime is 395949652447. The next prime is 395949652451. The reversal of 395949652448 is 844256949593.

It is a super-2 number, since 2×395949652448² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395949652447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64139090 + ... + 64145262.

It is an arithmetic number, because the mean of its divisors is an integer number (6632774505).

Almost surely, 2^395949652448 is an apocalyptic number.

395949652448 is a gapful number since it is divisible by the number (38) 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 395949652448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477559764360).

395949652448 is an abundant number, since it is smaller than the sum of its proper divisors (559169876272).

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

395949652448 is a wasteful number, since it uses less digits than its factorization.

395949652448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8369 (or 8354 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 68.

The spelling of 395949652448 in words is "three hundred ninety-five billion, nine hundred forty-nine million, six hundred fifty-two thousand, four hundred forty-eight".