450910800 has 180 divisors, whose sum is σ = 1623090560. Its totient is φ = 120216960.

The previous prime is 450910769. The next prime is 450910807. The reversal of 450910800 is 8019054.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450910807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94881 + ... + 99519.

Almost surely, 2^450910800 is an apocalyptic number.

450910800 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 450910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811545280).

450910800 is an abundant number, since it is smaller than the sum of its proper divisors (1172179760).

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

450910800 is a wasteful number, since it uses less digits than its factorization.

450910800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 450910800 is about 21234.6603457649. The cubic root of 450910800 is about 766.8260874106.

Adding to 450910800 its reverse (8019054), we get a palindrome (458929854).

The spelling of 450910800 in words is "four hundred fifty million, nine hundred ten thousand, eight hundred".