405880848 has 120 divisors (see below), whose sum is σ = 1237971360. Its totient is φ = 127296000.

The previous prime is 405880847. The next prime is 405880859. The reversal of 405880848 is 848088504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (405880847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123223 + ... + 126473.

It is an arithmetic number, because the mean of its divisors is an integer number (10316428).

Almost surely, 2^405880848 is an apocalyptic number.

405880848 is a gapful number since it is divisible by the number (48) 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 405880848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618985680).

405880848 is an abundant number, since it is smaller than the sum of its proper divisors (832090512).

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

405880848 is a wasteful number, since it uses less digits than its factorization.

405880848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 405880848 is about 20146.4847554108. The cubic root of 405880848 is about 740.3996185861.

The spelling of 405880848 in words is "four hundred five million, eight hundred eighty thousand, eight hundred forty-eight".