454133403900 has 1152 divisors, whose sum is σ = 1735888896000. Its totient is φ = 100683648000.

The previous prime is 454133403877. The next prime is 454133403917. The reversal of 454133403900 is 9304331454.

454133403900 is a `hidden beast` number, since 454 + 133 + 40 + 39 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2719361617 + ... + 2719361783.

It is an arithmetic number, because the mean of its divisors is an integer number (1506848000).

Almost surely, 2^454133403900 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 454133403900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867944448000).

454133403900 is an abundant number, since it is smaller than the sum of its proper divisors (1281755492100).

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

454133403900 is a wasteful number, since it uses less digits than its factorization.

454133403900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 454133403900 in words is "four hundred fifty-four billion, one hundred thirty-three million, four hundred three thousand, nine hundred".