396135360 has 560 divisors, whose sum is σ = 1593250560. Its totient is φ = 92897280.

The previous prime is 396135359. The next prime is 396135373. The reversal of 396135360 is 63531693.

396135360 is a `hidden beast` number, since 3 + 9 + 613 + 5 + 36 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 12778545 + ... + 12778575.

Almost surely, 2^396135360 is an apocalyptic number.

396135360 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 396135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796625280).

396135360 is an abundant number, since it is smaller than the sum of its proper divisors (1197115200).

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

396135360 is a wasteful number, since it uses less digits than its factorization.

396135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 396135360 is about 19903.1494995139. The cubic root of 396135360 is about 734.4257071611.

It can be divided in two parts, 396135 and 360, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 396135360 in words is "three hundred ninety-six million, one hundred thirty-five thousand, three hundred sixty".