396081400 has 144 divisors (see below), whose sum is σ = 1090945800. Its totient is φ = 132844800.

The previous prime is 396081383. The next prime is 396081403. The reversal of 396081400 is 4180693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396081403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313971 + ... + 315229.

Almost surely, 2^396081400 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 396081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545472900).

396081400 is an abundant number, since it is smaller than the sum of its proper divisors (694864400).

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

396081400 is a wasteful number, since it uses less digits than its factorization.

396081400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1290 counting only the distinct ones).

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

The square root of 396081400 is about 19901.7938889940. The cubic root of 396081400 is about 734.3923587869.

The spelling of 396081400 in words is "three hundred ninety-six million, eighty-one thousand, four hundred".