413867880 has 288 divisors, whose sum is σ = 1487959200. Its totient is φ = 103296384.

The previous prime is 413867843. The next prime is 413867891. The reversal of 413867880 is 88768314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4986319 + ... + 4986401.

It is an arithmetic number, because the mean of its divisors is an integer number (5166525).

Almost surely, 2^413867880 is an apocalyptic number.

413867880 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 413867880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743979600).

413867880 is an abundant number, since it is smaller than the sum of its proper divisors (1074091320).

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

413867880 is an equidigital number, since it uses as much as digits as its factorization.

413867880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

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

The square root of 413867880 is about 20343.7430184320. The cubic root of 413867880 is about 745.2246998744.

The spelling of 413867880 in words is "four hundred thirteen million, eight hundred sixty-seven thousand, eight hundred eighty".