396576180 has 576 divisors, whose sum is σ = 1690730496. Its totient is φ = 72576000.

The previous prime is 396576179. The next prime is 396576199. The reversal of 396576180 is 81675693.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 5585545 + ... + 5585615.

It is an arithmetic number, because the mean of its divisors is an integer number (2935296).

Almost surely, 2^396576180 is an apocalyptic number.

396576180 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 396576180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845365248).

396576180 is an abundant number, since it is smaller than the sum of its proper divisors (1294154316).

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

396576180 is a wasteful number, since it uses less digits than its factorization.

396576180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 396576180 is about 19914.2205471367. The cubic root of 396576180 is about 734.6980295013.

The spelling of 396576180 in words is "three hundred ninety-six million, five hundred seventy-six thousand, one hundred eighty".