450846445400 has 96 divisors (see below), whose sum is σ = 1129949657760. Its totient is φ = 166304240640.

The previous prime is 450846445277. The next prime is 450846445409. The reversal of 450846445400 is 4544648054.

It is a happy number.

It is a Cunningham number, because it is equal to 671451²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450846445409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2601869 + ... + 2769731.

It is an arithmetic number, because the mean of its divisors is an integer number (11770308935).

Almost surely, 2^450846445400 is an apocalyptic number.

450846445400 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 450846445400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564974828880).

450846445400 is an abundant number, since it is smaller than the sum of its proper divisors (679103212360).

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

450846445400 is a wasteful number, since it uses less digits than its factorization.

450846445400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168925 (or 168916 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 44.

The spelling of 450846445400 in words is "four hundred fifty billion, eight hundred forty-six million, four hundred forty-five thousand, four hundred".