412205760 has 448 divisors, whose sum is σ = 1599590400. Its totient is φ = 100776960.

The previous prime is 412205743. The next prime is 412205767. The reversal of 412205760 is 67502214.

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 (412205767) 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, 13296945 + ... + 13296975.

Almost surely, 2^412205760 is an apocalyptic number.

412205760 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 412205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799795200).

412205760 is an abundant number, since it is smaller than the sum of its proper divisors (1187384640).

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

412205760 is an equidigital number, since it uses as much as digits as its factorization.

412205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 412205760 is about 20302.8510313207. The cubic root of 412205760 is about 744.2257379533.

Adding to 412205760 its reverse (67502214), we get a palindrome (479707974).

The spelling of 412205760 in words is "four hundred twelve million, two hundred five thousand, seven hundred sixty".