450342353400 has 192 divisors, whose sum is σ = 1431904780800. Its totient is φ = 117030005760.

The previous prime is 450342353369. The next prime is 450342353453. The reversal of 450342353400 is 4353243054.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6536331 + ... + 6604869.

It is an arithmetic number, because the mean of its divisors is an integer number (7457837400).

Almost surely, 2^450342353400 is an apocalyptic number.

450342353400 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 450342353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715952390400).

450342353400 is an abundant number, since it is smaller than the sum of its proper divisors (981562427400).

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

450342353400 is a wasteful number, since it uses less digits than its factorization.

450342353400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68838 (or 68829 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 450342353400 its reverse (4353243054), we get a palindrome (454695596454).

The spelling of 450342353400 in words is "four hundred fifty billion, three hundred forty-two million, three hundred fifty-three thousand, four hundred".