396480000 has 400 divisors, whose sum is σ = 1534008960. Its totient is φ = 89088000.

The previous prime is 396479983. The next prime is 396480013. The reversal of 396480000 is 84693.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 396480000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719971 + ... + 6720029.

Almost surely, 2^396480000 is an apocalyptic number.

396480000 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 396480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767004480).

396480000 is an abundant number, since it is smaller than the sum of its proper divisors (1137528960).

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

396480000 is an frugal number, since it uses more digits than its factorization.

396480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 396480000 is about 19911.8055434458. The cubic root of 396480000 is about 734.6386302624.

The spelling of 396480000 in words is "three hundred ninety-six million, four hundred eighty thousand".