396763200 has 252 divisors, whose sum is σ = 1437162480. Its totient is φ = 103787520.

The previous prime is 396763163. The next prime is 396763207. The reversal of 396763200 is 2367693.

396763200 is a `hidden beast` number, since 396 + 7 + 63 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (396763207) 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, 849367 + ... + 849833.

Almost surely, 2^396763200 is an apocalyptic number.

396763200 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 396763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718581240).

396763200 is an abundant number, since it is smaller than the sum of its proper divisors (1040399280).

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

396763200 is a wasteful number, since it uses less digits than its factorization.

396763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

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

The square root of 396763200 is about 19918.9156331363. The cubic root of 396763200 is about 734.8135025923.

The spelling of 396763200 in words is "three hundred ninety-six million, seven hundred sixty-three thousand, two hundred".