455838880 has 192 divisors, whose sum is σ = 1339269120. Its totient is φ = 143078400.

The previous prime is 455838871. The next prime is 455838883. The reversal of 455838880 is 88838554.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (455838883) 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 31 ways as a sum of consecutive naturals, for example, 659335 + ... + 660025.

It is an arithmetic number, because the mean of its divisors is an integer number (6975360).

Almost surely, 2^455838880 is an apocalyptic number.

455838880 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 455838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669634560).

455838880 is an abundant number, since it is smaller than the sum of its proper divisors (883430240).

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

455838880 is a wasteful number, since it uses less digits than its factorization.

455838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 49.

The square root of 455838880 is about 21350.3836031112. The cubic root of 455838880 is about 769.6095619941.

The spelling of 455838880 in words is "four hundred fifty-five million, eight hundred thirty-eight thousand, eight hundred eighty".