396909360 has 240 divisors, whose sum is σ = 1402517376. Its totient is φ = 100472832.

The previous prime is 396909347. The next prime is 396909419. The reversal of 396909360 is 63909693.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 1251922 + ... + 1252238.

Almost surely, 2^396909360 is an apocalyptic number.

396909360 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 396909360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701258688).

396909360 is an abundant number, since it is smaller than the sum of its proper divisors (1005608016).

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

396909360 is a wasteful number, since it uses less digits than its factorization.

396909360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 396909360 is about 19922.5841697306. The cubic root of 396909360 is about 734.9037219441.

It can be divided in two parts, 3969093 and 60, that added together give a triangular number (3969153 = T₂₈₁₇).

The spelling of 396909360 in words is "three hundred ninety-six million, nine hundred nine thousand, three hundred sixty".