407212416 has 96 divisors (see below), whose sum is σ = 1261980720. Its totient is φ = 125291520.

The previous prime is 407212387. The next prime is 407212423. The reversal of 407212416 is 614212704.

407212416 is a `hidden beast` number, since 407 + 212 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 407212416.

It is a congruent number.

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, 1381 + ... + 28571.

Almost surely, 2^407212416 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 407212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630990360).

407212416 is an abundant number, since it is smaller than the sum of its proper divisors (854768304).

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

407212416 is a wasteful number, since it uses less digits than its factorization.

407212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27224 (or 27209 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 407212416 is about 20179.5048502187. The cubic root of 407212416 is about 741.2084078897.

The spelling of 407212416 in words is "four hundred seven million, two hundred twelve thousand, four hundred sixteen".