412072416 has 144 divisors (see below), whose sum is σ = 1397620224. Its totient is φ = 112603392.

The previous prime is 412072387. The next prime is 412072417. The reversal of 412072416 is 614270214.

412072416 is a `hidden beast` number, since 41 + 207 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 412072416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412072417) 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, 41925 + ... + 50811.

It is an arithmetic number, because the mean of its divisors is an integer number (9705696).

Almost surely, 2^412072416 is an apocalyptic number.

412072416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698810112).

412072416 is an abundant number, since it is smaller than the sum of its proper divisors (985547808).

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

412072416 is a wasteful number, since it uses less digits than its factorization.

412072416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933 (or 8922 counting only the distinct ones).

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

The square root of 412072416 is about 20299.5668919315. The cubic root of 412072416 is about 744.1454797027.

The spelling of 412072416 in words is "four hundred twelve million, seventy-two thousand, four hundred sixteen".