454680006 has 48 divisors (see below), whose sum is σ = 1003666944. Its totient is φ = 137214000.

The previous prime is 454679993. The next prime is 454680041. The reversal of 454680006 is 600086454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 195591 + ... + 197901.

It is an arithmetic number, because the mean of its divisors is an integer number (20909728).

Almost surely, 2^454680006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454680006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501833472).

454680006 is an abundant number, since it is smaller than the sum of its proper divisors (548986938).

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

454680006 is a wasteful number, since it uses less digits than its factorization.

454680006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 454680006 is about 21323.2269133919. The cubic root of 454680006 is about 768.9568186485.

The spelling of 454680006 in words is "four hundred fifty-four million, six hundred eighty thousand, six".