412783360 has 144 divisors (see below), whose sum is σ = 1136136960. Its totient is φ = 142110720.

The previous prime is 412783337. The next prime is 412783387. The reversal of 412783360 is 63387214.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266749 + ... + 268291.

It is an arithmetic number, because the mean of its divisors is an integer number (7889840).

Almost surely, 2^412783360 is an apocalyptic number.

412783360 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 412783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568068480).

412783360 is an abundant number, since it is smaller than the sum of its proper divisors (723353600).

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

412783360 is a wasteful number, since it uses less digits than its factorization.

412783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 412783360 is about 20317.0706549935. The cubic root of 412783360 is about 744.5731891557.

The spelling of 412783360 in words is "four hundred twelve million, seven hundred eighty-three thousand, three hundred sixty".