455681328000 has 768 divisors, whose sum is σ = 1624941077760. Its totient is φ = 112929177600.

The previous prime is 455681327939. The next prime is 455681328023. The reversal of 455681328000 is 823186554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1484303847 + ... + 1484304153.

It is an arithmetic number, because the mean of its divisors is an integer number (2115808695).

Almost surely, 2^455681328000 is an apocalyptic number.

455681328000 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 455681328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812470538880).

455681328000 is an abundant number, since it is smaller than the sum of its proper divisors (1169259749760).

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

455681328000 is a wasteful number, since it uses less digits than its factorization.

455681328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 455681328000 in words is "four hundred fifty-five billion, six hundred eighty-one million, three hundred twenty-eight thousand".