407749216 has 48 divisors (see below), whose sum is σ = 971411616. Its totient is φ = 164468736.

The previous prime is 407749207. The next prime is 407749219. The reversal of 407749216 is 612947704.

It is a super-2 number, since 2×407749216² = 332518846297229312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407749219) 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, 49731 + ... + 57346.

It is an arithmetic number, because the mean of its divisors is an integer number (20237742).

Almost surely, 2^407749216 is an apocalyptic number.

It is an amenable number.

407749216 is an abundant number, since it is smaller than the sum of its proper divisors (563662400).

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

407749216 is a wasteful number, since it uses less digits than its factorization.

407749216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107111 (or 107103 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 407749216 is about 20192.8010934590. The cubic root of 407749216 is about 741.5339594960.

The spelling of 407749216 in words is "four hundred seven million, seven hundred forty-nine thousand, two hundred sixteen".