403849216 has 45 divisors (see below), whose sum is σ = 812850969. Its totient is φ = 200638464.

The previous prime is 403849181. The next prime is 403849217. The reversal of 403849216 is 612948304.

The square root of 403849216 is 20096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 118374400 + 285474816 = 10880^2 + 16896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (403849217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2572210 + ... + 2572366.

Almost surely, 2^403849216 is an apocalyptic number.

403849216 is the 20096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403849216

403849216 is an abundant number, since it is smaller than the sum of its proper divisors (409001753).

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

403849216 is an frugal number, since it uses more digits than its factorization.

403849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The cubic root of 403849216 is about 739.1621976758.

The spelling of 403849216 in words is "four hundred three million, eight hundred forty-nine thousand, two hundred sixteen".