396000720 has 120 divisors (see below), whose sum is σ = 1408175496. Its totient is φ = 99385344.

The previous prime is 396000623. The next prime is 396000739. The reversal of 396000720 is 27000693.

396000720 is a `hidden beast` number, since 39 + 600 + 0 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157854096 + 238146624 = 12564^2 + 15432^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3937 + ... + 28416.

Almost surely, 2^396000720 is an apocalyptic number.

396000720 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 396000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704087748).

396000720 is an abundant number, since it is smaller than the sum of its proper divisors (1012174776).

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

396000720 is a wasteful number, since it uses less digits than its factorization.

396000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32389 (or 32380 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 396000720 is about 19899.7668328049. The cubic root of 396000720 is about 734.3424912605.

Subtracting from 396000720 its sum of digits (27), we obtain a palindrome (396000693).

The spelling of 396000720 in words is "three hundred ninety-six million, seven hundred twenty", and thus it is an aban number.