413361648 has 120 divisors (see below), whose sum is σ = 1349244000. Its totient is φ = 118089216.

The previous prime is 413361629. The next prime is 413361649. The reversal of 413361648 is 846163314.

It is a happy number.

413361648 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 6 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (413361649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45208 + ... + 53576.

It is an arithmetic number, because the mean of its divisors is an integer number (11243700).

Almost surely, 2^413361648 is an apocalyptic number.

413361648 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 413361648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674622000).

413361648 is an abundant number, since it is smaller than the sum of its proper divisors (935882352).

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

413361648 is a wasteful number, since it uses less digits than its factorization.

413361648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 8381 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 413361648 is about 20331.2972532497. The cubic root of 413361648 is about 744.9207296706.

The spelling of 413361648 in words is "four hundred thirteen million, three hundred sixty-one thousand, six hundred forty-eight".