396446400 has 840 divisors, whose sum is σ = 1829287680. Its totient is φ = 82114560.

The previous prime is 396446399. The next prime is 396446417. The reversal of 396446400 is 4644693.

396446400 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17236789 + ... + 17236811.

Almost surely, 2^396446400 is an apocalyptic number.

396446400 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 396446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914643840).

396446400 is an abundant number, since it is smaller than the sum of its proper divisors (1432841280).

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

396446400 is a wasteful number, since it uses less digits than its factorization.

396446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 396446400 is about 19910.9618049958. The cubic root of 396446400 is about 734.6178771724.

The spelling of 396446400 in words is "three hundred ninety-six million, four hundred forty-six thousand, four hundred".