412422516 has 144 divisors (see below), whose sum is σ = 1249335360. Its totient is φ = 117573120.

The previous prime is 412422511. The next prime is 412422523. The reversal of 412422516 is 615224214.

412422516 is a `hidden beast` number, since 4 + 124 + 22 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 412422516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412422511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180630 + ... + 182898.

It is an arithmetic number, because the mean of its divisors is an integer number (8675940).

Almost surely, 2^412422516 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 412422516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624667680).

412422516 is an abundant number, since it is smaller than the sum of its proper divisors (836912844).

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

412422516 is a wasteful number, since it uses less digits than its factorization.

412422516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2302 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 412422516 is about 20308.1883977867. The cubic root of 412422516 is about 744.3561640191.

The spelling of 412422516 in words is "four hundred twelve million, four hundred twenty-two thousand, five hundred sixteen".