454706670600 has 960 divisors, whose sum is σ = 1991381293440. Its totient is φ = 93585715200.

The previous prime is 454706670571. The next prime is 454706670623. The reversal of 454706670600 is 6076607454.

It is a happy number.

454706670600 is a `hidden beast` number, since 454 + 70 + 6 + 6 + 70 + 60 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 60438439 + ... + 60445961.

It is an arithmetic number, because the mean of its divisors is an integer number (2074355514).

Almost surely, 2^454706670600 is an apocalyptic number.

454706670600 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 454706670600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995690646720).

454706670600 is an abundant number, since it is smaller than the sum of its proper divisors (1536674622840).

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

454706670600 is a wasteful number, since it uses less digits than its factorization.

454706670600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 454706670600 in words is "four hundred fifty-four billion, seven hundred six million, six hundred seventy thousand, six hundred".