412660248 has 256 divisors, whose sum is σ = 1407974400. Its totient is φ = 97320960.

The previous prime is 412660247. The next prime is 412660253. The reversal of 412660248 is 842066214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412660247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2138040 + ... + 2138232.

It is an arithmetic number, because the mean of its divisors is an integer number (5499900).

Almost surely, 2^412660248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412660248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703987200).

412660248 is an abundant number, since it is smaller than the sum of its proper divisors (995314152).

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

412660248 is a wasteful number, since it uses less digits than its factorization.

412660248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 412660248 is about 20314.0406615720. The cubic root of 412660248 is about 744.4991591939.

The spelling of 412660248 in words is "four hundred twelve million, six hundred sixty thousand, two hundred forty-eight".