396288000 has 336 divisors, whose sum is σ = 1461887856. Its totient is φ = 103219200.

The previous prime is 396287989. The next prime is 396288023. The reversal of 396288000 is 882693.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215979 + ... + 9216021.

Almost surely, 2^396288000 is an apocalyptic number.

396288000 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 396288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730943928).

396288000 is an abundant number, since it is smaller than the sum of its proper divisors (1065599856).

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

396288000 is an equidigital number, since it uses as much as digits as its factorization.

396288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 396288000 is about 19906.9836991946. The cubic root of 396288000 is about 734.5200253797.

The spelling of 396288000 in words is "three hundred ninety-six million, two hundred eighty-eight thousand".