413285180 has 144 divisors (see below), whose sum is σ = 1126852608. Its totient is φ = 124502400.

The previous prime is 413285143. The next prime is 413285189. The reversal of 413285180 is 81582314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413285189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524747 + ... + 525533.

Almost surely, 2^413285180 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 413285180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563426304).

413285180 is an abundant number, since it is smaller than the sum of its proper divisors (713567428).

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

413285180 is a wasteful number, since it uses less digits than its factorization.

413285180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 413285180 is about 20329.4166173061. The cubic root of 413285180 is about 744.8747924051.

The spelling of 413285180 in words is "four hundred thirteen million, two hundred eighty-five thousand, one hundred eighty".