455861491020 has 288 divisors, whose sum is σ = 1522331096832. Its totient is φ = 109716332544.

The previous prime is 455861491003. The next prime is 455861491103. The reversal of 455861491020 is 20194168554.

455861491020 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 614 + 9 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205991434 + ... + 205993646.

It is an arithmetic number, because the mean of its divisors is an integer number (5285871864).

Almost surely, 2^455861491020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455861491020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761165548416).

455861491020 is an abundant number, since it is smaller than the sum of its proper divisors (1066469605812).

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

455861491020 is a wasteful number, since it uses less digits than its factorization.

455861491020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 455861491020 in words is "four hundred fifty-five billion, eight hundred sixty-one million, four hundred ninety-one thousand, twenty".