396126272 has 28 divisors (see below), whose sum is σ = 794179260. Its totient is φ = 196018176.

The previous prime is 396126271. The next prime is 396126301. The reversal of 396126272 is 272621693.

It can be written as a sum of positive squares in 2 ways, for example, as 61089856 + 335036416 = 7816^2 + 18304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396126271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25697 + ... + 38112.

It is an arithmetic number, because the mean of its divisors is an integer number (28363545).

Almost surely, 2^396126272 is an apocalyptic number.

396126272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

396126272 is an abundant number, since it is smaller than the sum of its proper divisors (398052988).

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

396126272 is an equidigital number, since it uses as much as digits as its factorization.

396126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63918 (or 63908 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 396126272 is about 19902.9211926290. The cubic root of 396126272 is about 734.4200908049.

The spelling of 396126272 in words is "three hundred ninety-six million, one hundred twenty-six thousand, two hundred seventy-two".