412644960 has 576 divisors, whose sum is σ = 1796401152. Its totient is φ = 83939328.

The previous prime is 412644949. The next prime is 412645019. The reversal of 412644960 is 69446214.

412644960 is a `hidden beast` number, since 4 + 1 + 2 + 644 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6158847 + ... + 6158913.

It is an arithmetic number, because the mean of its divisors is an integer number (3118752).

Almost surely, 2^412644960 is an apocalyptic number.

412644960 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 412644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898200576).

412644960 is an abundant number, since it is smaller than the sum of its proper divisors (1383756192).

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

412644960 is a wasteful number, since it uses less digits than its factorization.

412644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 412644960 is about 20313.6643666277. The cubic root of 412644960 is about 744.4899651546.

The spelling of 412644960 in words is "four hundred twelve million, six hundred forty-four thousand, nine hundred sixty".