396761600 has 120 divisors (see below), whose sum is σ = 994519680. Its totient is φ = 156856320.

The previous prime is 396761587. The next prime is 396761609. The reversal of 396761600 is 6167693.

It is not an unprimeable number, because it can be changed into a prime (396761609) 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, 1779089 + ... + 1779311.

It is an arithmetic number, because the mean of its divisors is an integer number (8287664).

Almost surely, 2^396761600 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 396761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497259840).

396761600 is an abundant number, since it is smaller than the sum of its proper divisors (597758080).

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

396761600 is a wasteful number, since it uses less digits than its factorization.

396761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 396761600 is about 19918.8754702669. The cubic root of 396761600 is about 734.8125148468.

The spelling of 396761600 in words is "three hundred ninety-six million, seven hundred sixty-one thousand, six hundred".