396536448 has 128 divisors (see below), whose sum is σ = 1313303040. Its totient is φ = 102988800.

The previous prime is 396536443. The next prime is 396536473. The reversal of 396536448 is 844635693.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 396536397 and 396536406.

It is not an unprimeable number, because it can be changed into a prime (396536443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22863 + ... + 36273.

It is an arithmetic number, because the mean of its divisors is an integer number (10260180).

Almost surely, 2^396536448 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 396536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656651520).

396536448 is an abundant number, since it is smaller than the sum of its proper divisors (916766592).

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

396536448 is a wasteful number, since it uses less digits than its factorization.

396536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13446 (or 13434 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 396536448 is about 19913.2229435619. Note that the first 3 decimals coincide. The cubic root of 396536448 is about 734.6734928141.

The spelling of 396536448 in words is "three hundred ninety-six million, five hundred thirty-six thousand, four hundred forty-eight".