396376200 has 192 divisors, whose sum is σ = 1489636800. Its totient is φ = 96076800.

The previous prime is 396376187. The next prime is 396376229. The reversal of 396376200 is 2673693.

It is a super-2 number, since 2×396376200² = 314228183852880000, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56064 + ... + 62736.

It is an arithmetic number, because the mean of its divisors is an integer number (7758525).

Almost surely, 2^396376200 is an apocalyptic number.

396376200 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 396376200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744818400).

396376200 is an abundant number, since it is smaller than the sum of its proper divisors (1093260600).

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

396376200 is a wasteful number, since it uses less digits than its factorization.

396376200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 396376200 is about 19909.1988789102. The cubic root of 396376200 is about 734.5745142536.

The spelling of 396376200 in words is "three hundred ninety-six million, three hundred seventy-six thousand, two hundred".