412461360 has 120 divisors (see below), whose sum is σ = 1396075824. Its totient is φ = 109125120.

The previous prime is 412461349. The next prime is 412461373. The reversal of 412461360 is 63164214.

412461360 is a `hidden beast` number, since 41 + 2 + 4 + 613 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92134 + ... + 96506.

Almost surely, 2^412461360 is an apocalyptic number.

412461360 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 412461360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698037912).

412461360 is an abundant number, since it is smaller than the sum of its proper divisors (983614464).

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

412461360 is a wasteful number, since it uses less digits than its factorization.

412461360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 412461360 is about 20309.1447382700. The cubic root of 412461360 is about 744.3795323384.

The spelling of 412461360 in words is "four hundred twelve million, four hundred sixty-one thousand, three hundred sixty".