412218720 has 240 divisors, whose sum is σ = 1541187648. Its totient is φ = 103403520.

The previous prime is 412218713. The next prime is 412218721. The reversal of 412218720 is 27812214.

It is a tau number, because it is divible by the number of its divisors (240).

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 (412218721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 219385 + ... + 221255.

Almost surely, 2^412218720 is an apocalyptic number.

412218720 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 412218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770593824).

412218720 is an abundant number, since it is smaller than the sum of its proper divisors (1128968928).

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

412218720 is a wasteful number, since it uses less digits than its factorization.

412218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 412218720 is about 20303.1701958093. The cubic root of 412218720 is about 744.2335375083.

The spelling of 412218720 in words is "four hundred twelve million, two hundred eighteen thousand, seven hundred twenty".