396267520 has 104 divisors (see below), whose sum is σ = 1037963520. Its totient is φ = 144015360.

The previous prime is 396267499. The next prime is 396267523. The reversal of 396267520 is 25762693.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (396267523) 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 7 ways as a sum of consecutive naturals, for example, 224401 + ... + 226159.

Almost surely, 2^396267520 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 396267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518981760).

396267520 is an abundant number, since it is smaller than the sum of its proper divisors (641696000).

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

396267520 is a wasteful number, since it uses less digits than its factorization.

396267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 396267520 is about 19906.4693002049. The cubic root of 396267520 is about 734.5073719313.

The spelling of 396267520 in words is "three hundred ninety-six million, two hundred sixty-seven thousand, five hundred twenty".