396567360 has 448 divisors, whose sum is σ = 1638604800. Its totient is φ = 88418304.

The previous prime is 396567337. The next prime is 396567383. The reversal of 396567360 is 63765693.

It is an interprime number because it is at equal distance from previous prime (396567337) and next prime (396567383).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4777879 + ... + 4777961.

It is an arithmetic number, because the mean of its divisors is an integer number (3657600).

Almost surely, 2^396567360 is an apocalyptic number.

396567360 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 396567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

396567360 is an abundant number, since it is smaller than the sum of its proper divisors (1242037440).

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

396567360 is a wasteful number, since it uses less digits than its factorization.

396567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 396567360 is about 19913.9990961133. Note that the first 3 decimals coincide. The cubic root of 396567360 is about 734.6925828095.

The spelling of 396567360 in words is "three hundred ninety-six million, five hundred sixty-seven thousand, three hundred sixty".