413248368 has 160 divisors (see below), whose sum is σ = 1189923840. Its totient is φ = 122803200.

The previous prime is 413248357. The next prime is 413248369. The reversal of 413248368 is 863842314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413248369) 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 31 ways as a sum of consecutive naturals, for example, 4091518 + ... + 4091618.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2^413248368 is an apocalyptic number.

413248368 is a gapful number since it is divisible by the number (48) 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 413248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594961920).

413248368 is an abundant number, since it is smaller than the sum of its proper divisors (776675472).

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

413248368 is a wasteful number, since it uses less digits than its factorization.

413248368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 413248368 is about 20328.5112096287. The cubic root of 413248368 is about 744.8526760020.

The spelling of 413248368 in words is "four hundred thirteen million, two hundred forty-eight thousand, three hundred sixty-eight".