412616160 has 384 divisors, whose sum is σ = 1661990400. Its totient is φ = 94556160.

The previous prime is 412616137. The next prime is 412616161. The reversal of 412616160 is 61616214.

412616160 is a `hidden beast` number, since 41 + 2 + 6 + 1 + 616 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412616161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 902652 + ... + 903108.

It is an arithmetic number, because the mean of its divisors is an integer number (4328100).

Almost surely, 2^412616160 is an apocalyptic number.

412616160 is a gapful number since it is divisible by the number (40) 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 412616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830995200).

412616160 is an abundant number, since it is smaller than the sum of its proper divisors (1249374240).

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

412616160 is a wasteful number, since it uses less digits than its factorization.

412616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 412616160 is about 20312.9554718165. The cubic root of 412616160 is about 744.4726445263.

The spelling of 412616160 in words is "four hundred twelve million, six hundred sixteen thousand, one hundred sixty".