454253368800 has 576 divisors, whose sum is σ = 1951894070784. Its totient is φ = 88837324800.

The previous prime is 454253368691. The next prime is 454253368813. The reversal of 454253368800 is 8863352454.

It is a super-2 number, since 2×454253368800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 454253368800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3069304 + ... + 3213896.

It is an arithmetic number, because the mean of its divisors is an integer number (3388704984).

Almost surely, 2^454253368800 is an apocalyptic number.

454253368800 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 454253368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975947035392).

454253368800 is an abundant number, since it is smaller than the sum of its proper divisors (1497640701984).

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

454253368800 is a wasteful number, since it uses less digits than its factorization.

454253368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144651 (or 144638 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 454253368800 in words is "four hundred fifty-four billion, two hundred fifty-three million, three hundred sixty-eight thousand, eight hundred".