408913120 has 96 divisors (see below), whose sum is σ = 1204471296. Its totient is φ = 127449600.

The previous prime is 408913091. The next prime is 408913123. The reversal of 408913120 is 21319804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408913123) 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 15 ways as a sum of consecutive naturals, for example, 4276 + ... + 28915.

It is an arithmetic number, because the mean of its divisors is an integer number (12546576).

Almost surely, 2^408913120 is an apocalyptic number.

408913120 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 408913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602235648).

408913120 is an abundant number, since it is smaller than the sum of its proper divisors (795558176).

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

408913120 is a wasteful number, since it uses less digits than its factorization.

408913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33224 (or 33216 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 408913120 is about 20221.6003323179. The cubic root of 408913120 is about 742.2388490079.

The spelling of 408913120 in words is "four hundred eight million, nine hundred thirteen thousand, one hundred twenty".