396424512 has 336 divisors, whose sum is σ = 1355140800. Its totient is φ = 109486080.

The previous prime is 396424507. The next prime is 396424537. The reversal of 396424512 is 215424693.

It is a happy number.

396424512 is a `hidden beast` number, since 3 + 9 + 642 + 4 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 4454164 + ... + 4454252.

Almost surely, 2^396424512 is an apocalyptic number.

396424512 is a gapful number since it is divisible by the number (32) 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 396424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677570400).

396424512 is an abundant number, since it is smaller than the sum of its proper divisors (958716288).

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

396424512 is a wasteful number, since it uses less digits than its factorization.

396424512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 396424512 is about 19910.4121504302. The cubic root of 396424512 is about 734.6043573860.

The spelling of 396424512 in words is "three hundred ninety-six million, four hundred twenty-four thousand, five hundred twelve".