396774400 has 132 divisors (see below), whose sum is σ = 1073692440. Its totient is φ = 144179200.

The previous prime is 396774383. The next prime is 396774401. The reversal of 396774400 is 4477693.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280896 + ... + 282304.

Almost surely, 2^396774400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536846220).

396774400 is an abundant number, since it is smaller than the sum of its proper divisors (676918040).

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

396774400 is a wasteful number, since it uses less digits than its factorization.

396774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 396774400 is about 19919.1967709544. The cubic root of 396774400 is about 734.8204167364.

The spelling of 396774400 in words is "three hundred ninety-six million, seven hundred seventy-four thousand, four hundred".