396537800 has 48 divisors (see below), whose sum is σ = 926817540. Its totient is φ = 157777920.

The previous prime is 396537781. The next prime is 396537811. The reversal of 396537800 is 8735693.

It can be written as a sum of positive squares in 6 ways, for example, as 49758916 + 346778884 = 7054^2 + 18622^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33464 + ... + 43736.

Almost surely, 2^396537800 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 396537800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463408770).

396537800 is an abundant number, since it is smaller than the sum of its proper divisors (530279740).

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

396537800 is a wasteful number, since it uses less digits than its factorization.

396537800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10482 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 396537800 is about 19913.2568908253. The cubic root of 396537800 is about 734.6743277751.

The spelling of 396537800 in words is "three hundred ninety-six million, five hundred thirty-seven thousand, eight hundred".