412964160 has 168 divisors, whose sum is σ = 1525402080. Its totient is φ = 94381056.

The previous prime is 412964129. The next prime is 412964161. The reversal of 412964160 is 61469214.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412964161) 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, 42651 + ... + 51429.

Almost surely, 2^412964160 is an apocalyptic number.

412964160 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 412964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762701040).

412964160 is an abundant number, since it is smaller than the sum of its proper divisors (1112437920).

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

412964160 is a wasteful number, since it uses less digits than its factorization.

412964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 412964160 is about 20321.5196282168. The cubic root of 412964160 is about 744.6818815078.

The spelling of 412964160 in words is "four hundred twelve million, nine hundred sixty-four thousand, one hundred sixty".