396258347520 has 960 divisors, whose sum is σ = 1676669829120. Its totient is φ = 84425048064.

The previous prime is 396258347461. The next prime is 396258347543. The reversal of 396258347520 is 25743852693.

396258347520 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 583 + 4 + 7 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309818241 + ... + 309819519.

It is an arithmetic number, because the mean of its divisors is an integer number (1746531072).

Almost surely, 2^396258347520 is an apocalyptic number.

396258347520 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 396258347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838334914560).

396258347520 is an abundant number, since it is smaller than the sum of its proper divisors (1280411481600).

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

396258347520 is a wasteful number, since it uses less digits than its factorization.

396258347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 396258347520 in words is "three hundred ninety-six billion, two hundred fifty-eight million, three hundred forty-seven thousand, five hundred twenty".