454543532400 has 240 divisors, whose sum is σ = 1477476149760. Its totient is φ = 119434598400.

The previous prime is 454543532357. The next prime is 454543532407. The reversal of 454543532400 is 4235345454.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454543532407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49386199 + ... + 49395401.

It is an arithmetic number, because the mean of its divisors is an integer number (6156150624).

Almost surely, 2^454543532400 is an apocalyptic number.

454543532400 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 454543532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738738074880).

454543532400 is an abundant number, since it is smaller than the sum of its proper divisors (1022932617360).

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

454543532400 is a wasteful number, since it uses less digits than its factorization.

454543532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 454543532400 its reverse (4235345454), we get a palindrome (458778877854).

The spelling of 454543532400 in words is "four hundred fifty-four billion, five hundred forty-three million, five hundred thirty-two thousand, four hundred".