402854474880 has 768 divisors, whose sum is σ = 1639857623040. Its totient is φ = 89843466240.

The previous prime is 402854474879. The next prime is 402854474887. The reversal of 402854474880 is 88474458204.

402854474880 is a `hidden beast` number, since 4 + 0 + 2 + 85 + 447 + 48 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (402854474887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315468802 + ... + 315470078.

It is an arithmetic number, because the mean of its divisors is an integer number (2135231280).

Almost surely, 2^402854474880 is an apocalyptic number.

402854474880 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 402854474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819928811520).

402854474880 is an abundant number, since it is smaller than the sum of its proper divisors (1237003148160).

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

402854474880 is a wasteful number, since it uses less digits than its factorization.

402854474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 402854474880 in words is "four hundred two billion, eight hundred fifty-four million, four hundred seventy-four thousand, eight hundred eighty".