413542080 has 336 divisors, whose sum is σ = 1653747264. Its totient is φ = 92897280.

The previous prime is 413542067. The next prime is 413542109. The reversal of 413542080 is 80245314.

413542080 is a `hidden beast` number, since 41 + 3 + 542 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1471540 + ... + 1471820.

Almost surely, 2^413542080 is an apocalyptic number.

413542080 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 413542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826873632).

413542080 is an abundant number, since it is smaller than the sum of its proper divisors (1240205184).

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

413542080 is a wasteful number, since it uses less digits than its factorization.

413542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 413542080 is about 20335.7340659244. The cubic root of 413542080 is about 745.0290996546.

Adding to 413542080 its reverse (80245314), we get a palindrome (493787394).

It can be divided in two parts, 41354 and 2080, that added together give a palindrome (43434).

The spelling of 413542080 in words is "four hundred thirteen million, five hundred forty-two thousand, eighty".