413683848 has 180 divisors, whose sum is σ = 1257611685. Its totient is φ = 127021824.

The previous prime is 413683841. The next prime is 413683849. The reversal of 413683848 is 848386314.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 378613764 + 35070084 = 19458^2 + 5922^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14382.

It is a super-2 number, since 2×413683848² = 342268652192174208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (413683841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8801761 + ... + 8801807.

Almost surely, 2^413683848 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 413683848

413683848 is an abundant number, since it is smaller than the sum of its proper divisors (843927837).

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

413683848 is a wasteful number, since it uses less digits than its factorization.

413683848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 69 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 413683848 is about 20339.2194540499. The cubic root of 413683848 is about 745.1142253877.

The spelling of 413683848 in words is "four hundred thirteen million, six hundred eighty-three thousand, eight hundred forty-eight".