455948650080 has 480 divisors, whose sum is σ = 2006178451200. Its totient is φ = 94742369280.

The previous prime is 455948650063. The next prime is 455948650109. The reversal of 455948650080 is 80056849554.

455948650080 is a `hidden beast` number, since 4 + 5 + 59 + 4 + 8 + 6 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 455948649999 and 455948650026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 769471 + ... + 1226369.

It is an arithmetic number, because the mean of its divisors is an integer number (4179538440).

Almost surely, 2^455948650080 is an apocalyptic number.

455948650080 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 455948650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003089225600).

455948650080 is an abundant number, since it is smaller than the sum of its proper divisors (1550229801120).

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

455948650080 is a wasteful number, since it uses less digits than its factorization.

455948650080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456944 (or 456927 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 455948650080 in words is "four hundred fifty-five billion, nine hundred forty-eight million, six hundred fifty thousand, eighty".