396672360 has 128 divisors (see below), whose sum is σ = 1368057600. Its totient is φ = 90132480.

The previous prime is 396672359. The next prime is 396672379. The reversal of 396672360 is 63276693.

It is a super-3 number, since 3×396672360³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150736 + ... + 153344.

It is an arithmetic number, because the mean of its divisors is an integer number (10687950).

Almost surely, 2^396672360 is an apocalyptic number.

396672360 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 396672360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684028800).

396672360 is an abundant number, since it is smaller than the sum of its proper divisors (971385240).

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

396672360 is a wasteful number, since it uses less digits than its factorization.

396672360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The square root of 396672360 is about 19916.6352579948. The cubic root of 396672360 is about 734.7574191371.

The spelling of 396672360 in words is "three hundred ninety-six million, six hundred seventy-two thousand, three hundred sixty".