396429360 has 80 divisors (see below), whose sum is σ = 1237182720. Its totient is φ = 105004800.

The previous prime is 396429353. The next prime is 396429361. The reversal of 396429360 is 63924693.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (396429361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30771 + ... + 41709.

It is an arithmetic number, because the mean of its divisors is an integer number (15464784).

Almost surely, 2^396429360 is an apocalyptic number.

396429360 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 396429360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618591360).

396429360 is an abundant number, since it is smaller than the sum of its proper divisors (840753360).

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

396429360 is a wasteful number, since it uses less digits than its factorization.

396429360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11106 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 396429360 is about 19910.5338954032. The cubic root of 396429360 is about 734.6073519430.

The spelling of 396429360 in words is "three hundred ninety-six million, four hundred twenty-nine thousand, three hundred sixty".