413786880 has 360 divisors, whose sum is σ = 1599691632. Its totient is φ = 101523456.

The previous prime is 413786839. The next prime is 413786887. The reversal of 413786880 is 88687314.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (413786887) 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 39 ways as a sum of consecutive naturals, for example, 1347687 + ... + 1347993.

Almost surely, 2^413786880 is an apocalyptic number.

413786880 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 413786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799845816).

413786880 is an abundant number, since it is smaller than the sum of its proper divisors (1185904752).

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

413786880 is a wasteful number, since it uses less digits than its factorization.

413786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 413786880 is about 20341.7521369227. The cubic root of 413786880 is about 745.1760795763.

The spelling of 413786880 in words is "four hundred thirteen million, seven hundred eighty-six thousand, eight hundred eighty".