395703760452 has 1152 divisors, whose sum is σ = 1413141811200. Its totient is φ = 85006817280.

The previous prime is 395703760451. The next prime is 395703760523. The reversal of 395703760452 is 254067307593.

It is a junction number, because it is equal to n+sod(n) for n = 395703760395 and 395703760404.

It is not an unprimeable number, because it can be changed into a prime (395703760451) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4446109624 + ... + 4446109712.

It is an arithmetic number, because the mean of its divisors is an integer number (1226685600).

Almost surely, 2^395703760452 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 395703760452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706570905600).

395703760452 is an abundant number, since it is smaller than the sum of its proper divisors (1017438050748).

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

395703760452 is a wasteful number, since it uses less digits than its factorization.

395703760452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 395703760452 in words is "three hundred ninety-five billion, seven hundred three million, seven hundred sixty thousand, four hundred fifty-two".