453542400 has 360 divisors, whose sum is σ = 1688653824. Its totient is φ = 116121600.

The previous prime is 453542393. The next prime is 453542423. The reversal of 453542400 is 4245354.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3571137 + ... + 3571263.

Almost surely, 2^453542400 is an apocalyptic number.

453542400 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 453542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844326912).

453542400 is an abundant number, since it is smaller than the sum of its proper divisors (1235111424).

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

453542400 is a wasteful number, since it uses less digits than its factorization.

453542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 453542400 is about 21296.5349294199. The cubic root of 453542400 is about 768.3149749703.

Adding to 453542400 its reverse (4245354), we get a palindrome (457787754).

The spelling of 453542400 in words is "four hundred fifty-three million, five hundred forty-two thousand, four hundred".