396469584 has 240 divisors, whose sum is σ = 1354080000. Its totient is φ = 108041472.

The previous prime is 396469583. The next prime is 396469613. The reversal of 396469584 is 485964693.

Its product of digits (5598720) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 396469584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396469583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135842 + ... + 1136190.

It is an arithmetic number, because the mean of its divisors is an integer number (5642000).

Almost surely, 2^396469584 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 396469584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040000).

396469584 is an abundant number, since it is smaller than the sum of its proper divisors (957610416).

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

396469584 is a wasteful number, since it uses less digits than its factorization.

396469584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 384 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 396469584 is about 19911.5439883501. The cubic root of 396469584 is about 734.6321969299.

The spelling of 396469584 in words is "three hundred ninety-six million, four hundred sixty-nine thousand, five hundred eighty-four".