396145320 has 128 divisors (see below), whose sum is σ = 1220832000. Its totient is φ = 102795264.

The previous prime is 396145303. The next prime is 396145333. The reversal of 396145320 is 23541693.

It is a super-2 number, since 2×396145320² = 313862229115804800, which contains 22 as substring.

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, 1265484 + ... + 1265796.

It is an arithmetic number, because the mean of its divisors is an integer number (9537750).

Almost surely, 2^396145320 is an apocalyptic number.

396145320 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 396145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610416000).

396145320 is an abundant number, since it is smaller than the sum of its proper divisors (824686680).

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

396145320 is a wasteful number, since it uses less digits than its factorization.

396145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 396145320 is about 19903.3997095974. The cubic root of 396145320 is about 734.4318623120.

The spelling of 396145320 in words is "three hundred ninety-six million, one hundred forty-five thousand, three hundred twenty".