396431100 has 216 divisors, whose sum is σ = 1382605952. Its totient is φ = 94348800.

The previous prime is 396431081. The next prime is 396431117. The reversal of 396431100 is 1134693.

396431100 is a `hidden beast` number, since 3 + 9 + 643 + 1 + 10 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 362154 + ... + 363246.

Almost surely, 2^396431100 is an apocalyptic number.

396431100 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 396431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691302976).

396431100 is an abundant number, since it is smaller than the sum of its proper divisors (986174852).

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

396431100 is a wasteful number, since it uses less digits than its factorization.

396431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 396431100 is about 19910.5775908184. The cubic root of 396431100 is about 734.6084267161.

Adding to 396431100 its reverse (1134693), we get a palindrome (397565793).

The spelling of 396431100 in words is "three hundred ninety-six million, four hundred thirty-one thousand, one hundred".