396406920 has 256 divisors, whose sum is σ = 1512161280. Its totient is φ = 80870400.

The previous prime is 396406877. The next prime is 396406931. The reversal of 396406920 is 29604693.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337935 + ... + 339105.

It is an arithmetic number, because the mean of its divisors is an integer number (5906880).

Almost surely, 2^396406920 is an apocalyptic number.

396406920 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 396406920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756080640).

396406920 is an abundant number, since it is smaller than the sum of its proper divisors (1115754360).

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

396406920 is a wasteful number, since it uses less digits than its factorization.

396406920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 396406920 is about 19909.9703666279. The cubic root of 396406920 is about 734.5934907933.

The spelling of 396406920 in words is "three hundred ninety-six million, four hundred six thousand, nine hundred twenty".