396968400 has 90 divisors (see below), whose sum is σ = 1377603110. Its totient is φ = 105857280.

The previous prime is 396968371. The next prime is 396968401. The reversal of 396968400 is 4869693.

It can be written as a sum of positive squares in 3 ways, for example, as 102090816 + 294877584 = 10104^2 + 17172^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396968401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 51535 + ... + 58734.

Almost surely, 2^396968400 is an apocalyptic number.

396968400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396968400 is an abundant number, since it is smaller than the sum of its proper divisors (980634710).

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

396968400 is a wasteful number, since it uses less digits than its factorization.

396968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110293 (or 110279 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 396968400 is about 19924.0658501221. The cubic root of 396968400 is about 734.9401589487.

The spelling of 396968400 in words is "three hundred ninety-six million, nine hundred sixty-eight thousand, four hundred".