396684288 has 528 divisors, whose sum is σ = 1573668096. Its totient is φ = 92897280.

The previous prime is 396684269. The next prime is 396684349. The reversal of 396684288 is 882486693.

It is a tau number, because it is divible by the number of its divisors (528).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9225195 + ... + 9225237.

It is an arithmetic number, because the mean of its divisors is an integer number (2980432).

Almost surely, 2^396684288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786834048).

396684288 is an abundant number, since it is smaller than the sum of its proper divisors (1176983808).

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

396684288 is a wasteful number, since it uses less digits than its factorization.

396684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 396684288 is about 19916.9347039147. The cubic root of 396684288 is about 734.7647838202.

It can be divided in two parts, 39668 and 4288, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 396684288 in words is "three hundred ninety-six million, six hundred eighty-four thousand, two hundred eighty-eight".