408227760 has 120 divisors (see below), whose sum is σ = 1388512320. Its totient is φ = 107467776.

The previous prime is 408227737. The next prime is 408227761. The reversal of 408227760 is 67722804.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (408227761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53292 + ... + 60468.

It is an arithmetic number, because the mean of its divisors is an integer number (11570936).

Almost surely, 2^408227760 is an apocalyptic number.

408227760 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 408227760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694256160).

408227760 is an abundant number, since it is smaller than the sum of its proper divisors (980284560).

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

408227760 is a wasteful number, since it uses less digits than its factorization.

408227760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 408227760 is about 20204.6469902347. The cubic root of 408227760 is about 741.8239399391.

The spelling of 408227760 in words is "four hundred eight million, two hundred twenty-seven thousand, seven hundred sixty".