408144960 has 224 divisors, whose sum is σ = 1457675520. Its totient is φ = 107495424.

The previous prime is 408144953. The next prime is 408144983. The reversal of 408144960 is 69441804.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 837837 + ... + 838323.

It is an arithmetic number, because the mean of its divisors is an integer number (6507480).

Almost surely, 2^408144960 is an apocalyptic number.

408144960 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 408144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728837760).

408144960 is an abundant number, since it is smaller than the sum of its proper divisors (1049530560).

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

408144960 is a wasteful number, since it uses less digits than its factorization.

408144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 408144960 is about 20202.5978527515. The cubic root of 408144960 is about 741.7737823379.

The spelling of 408144960 in words is "four hundred eight million, one hundred forty-four thousand, nine hundred sixty".