413534520 has 384 divisors, whose sum is σ = 1667952000. Its totient is φ = 88510464.

The previous prime is 413534491. The next prime is 413534543. The reversal of 413534520 is 25435314.

413534520 is a `hidden beast` number, since 4 + 135 + 3 + 4 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2099062 + ... + 2099258.

It is an arithmetic number, because the mean of its divisors is an integer number (4343625).

Almost surely, 2^413534520 is an apocalyptic number.

413534520 is a gapful number since it is divisible by the number (40) 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 413534520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833976000).

413534520 is an abundant number, since it is smaller than the sum of its proper divisors (1254417480).

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

413534520 is a wasteful number, since it uses less digits than its factorization.

413534520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 413534520 is about 20335.5481853822. The cubic root of 413534520 is about 745.0245596456.

Adding to 413534520 its reverse (25435314), we get a palindrome (438969834).

The spelling of 413534520 in words is "four hundred thirteen million, five hundred thirty-four thousand, five hundred twenty".