413348544 has 168 divisors, whose sum is σ = 1398146048. Its totient is φ = 114255360.

The previous prime is 413348543. The next prime is 413348561. The reversal of 413348544 is 445843314.

413348544 is a `hidden beast` number, since 4 + 133 + 485 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 413348499 and 413348508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413348543) 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 23 ways as a sum of consecutive naturals, for example, 123339 + ... + 126645.

Almost surely, 2^413348544 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 413348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699073024).

413348544 is an abundant number, since it is smaller than the sum of its proper divisors (984797504).

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

413348544 is a wasteful number, since it uses less digits than its factorization.

413348544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3350 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 413348544 is about 20330.9749889178. The cubic root of 413348544 is about 744.9128579966.

The spelling of 413348544 in words is "four hundred thirteen million, three hundred forty-eight thousand, five hundred forty-four".