454866451200 has 1944 divisors, whose sum is σ = 2019342753792. Its totient is φ = 100956119040.

The previous prime is 454866451177. The next prime is 454866451223. The reversal of 454866451200 is 2154668454.

It is a happy number.

454866451200 is a `hidden beast` number, since 4 + 5 + 486 + 6 + 45 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (454866451177) and next prime (454866451223).

It is a tau number, because it is divible by the number of its divisors (1944).

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 215 ways as a sum of consecutive naturals, for example, 3581625537 + ... + 3581625663.

Almost surely, 2^454866451200 is an apocalyptic number.

454866451200 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 454866451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009671376896).

454866451200 is an abundant number, since it is smaller than the sum of its proper divisors (1564476302592).

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

454866451200 is a wasteful number, since it uses less digits than its factorization.

454866451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 454866451200 in words is "four hundred fifty-four billion, eight hundred sixty-six million, four hundred fifty-one thousand, two hundred".