407091216 has 120 divisors (see below), whose sum is σ = 1240631904. Its totient is φ = 114670080.

The previous prime is 407091211. The next prime is 407091229. The reversal of 407091216 is 612190704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (407091211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170511 + ... + 172881.

Almost surely, 2^407091216 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 407091216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620315952).

407091216 is an abundant number, since it is smaller than the sum of its proper divisors (833540688).

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

407091216 is a wasteful number, since it uses less digits than its factorization.

407091216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 407091216 is about 20176.5015798081. The cubic root of 407091216 is about 741.1348644764.

The spelling of 407091216 in words is "four hundred seven million, ninety-one thousand, two hundred sixteen".