396408100 has 81 divisors (see below), whose sum is σ = 950767923. Its totient is φ = 143352000.

The previous prime is 396408071. The next prime is 396408119. The reversal of 396408100 is 1804693.

The square root of 396408100 is 19910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 212751396 + 183656704 = 14586^2 + 13552^2 .

It is a super-2 number, since 2×396408100² = 314278763491220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2190010 + ... + 2190190.

Almost surely, 2^396408100 is an apocalyptic number.

396408100 is the 19910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396408100

396408100 is an abundant number, since it is smaller than the sum of its proper divisors (554359823).

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

396408100 is a wasteful number, since it uses less digits than its factorization.

396408100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 396408100 is about 734.5942196904.

Multiplying 396408100 by its product of nonzero digits (5184), we get a square (2054979590400 = 1433520²).

The spelling of 396408100 in words is "three hundred ninety-six million, four hundred eight thousand, one hundred".