396125184 has 264 divisors, whose sum is σ = 1318595520. Its totient is φ = 103514112.

The previous prime is 396125179. The next prime is 396125203. The reversal of 396125184 is 481521693.

It is a super-2 number, since 2×396125184² = 313830322798067712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634122 + ... + 3634230.

It is an arithmetic number, because the mean of its divisors is an integer number (4994680).

Almost surely, 2^396125184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396125184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659297760).

396125184 is an abundant number, since it is smaller than the sum of its proper divisors (922470336).

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

396125184 is a wasteful number, since it uses less digits than its factorization.

396125184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 134 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 396125184 is about 19902.8938599391. The cubic root of 396125184 is about 734.4194184185.

The spelling of 396125184 in words is "three hundred ninety-six million, one hundred twenty-five thousand, one hundred eighty-four".