455971680000 has 900 divisors, whose sum is σ = 1717579111248. Its totient is φ = 120268800000.

The previous prime is 455971679971. The next prime is 455971680007. The reversal of 455971680000 is 86179554.

455971680000 is a `hidden beast` number, since 4 + 559 + 7 + 16 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455971680007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1956959884 + ... + 1956960116.

Almost surely, 2^455971680000 is an apocalyptic number.

455971680000 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 455971680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858789555624).

455971680000 is an abundant number, since it is smaller than the sum of its proper divisors (1261607431248).

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

455971680000 is an equidigital number, since it uses as much as digits as its factorization.

455971680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

It can be divided in two parts, 4559716 and 80000, that added together give a square (4639716 = 2154²).

The spelling of 455971680000 in words is "four hundred fifty-five billion, nine hundred seventy-one million, six hundred eighty thousand".