396240000 has 320 divisors, whose sum is σ = 1427543040. Its totient is φ = 96768000.

The previous prime is 396239983. The next prime is 396240007. The reversal of 396240000 is 42693.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×396240000² = 314012275200000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (396240007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3119937 + ... + 3120063.

It is an arithmetic number, because the mean of its divisors is an integer number (4461072).

Almost surely, 2^396240000 is an apocalyptic number.

396240000 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 396240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713771520).

396240000 is an abundant number, since it is smaller than the sum of its proper divisors (1031303040).

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

396240000 is a wasteful number, since it uses less digits than its factorization.

396240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 396240000 is about 19905.7780556300. The cubic root of 396240000 is about 734.4903681735.

Adding to 396240000 its reverse (42693), we get a palindrome (396282693).

It can be divided in two parts, 39 and 6240000, that multiplied together give a square (243360000 = 15600²).

The spelling of 396240000 in words is "three hundred ninety-six million, two hundred forty thousand".