396293472 has 120 divisors (see below), whose sum is σ = 1190651616. Its totient is φ = 129247488.

The previous prime is 396293453. The next prime is 396293479. The reversal of 396293472 is 274392693.

396293472 is a `hidden beast` number, since 3 + 96 + 2 + 93 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396293479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 120198 + ... + 123450.

Almost surely, 2^396293472 is an apocalyptic number.

396293472 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 396293472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595325808).

396293472 is an abundant number, since it is smaller than the sum of its proper divisors (794358144).

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

396293472 is a wasteful number, since it uses less digits than its factorization.

396293472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3305 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 396293472 is about 19907.1211379245. The cubic root of 396293472 is about 734.5234061492.

The spelling of 396293472 in words is "three hundred ninety-six million, two hundred ninety-three thousand, four hundred seventy-two".