450212504400 has 240 divisors, whose sum is σ = 1603040256000. Its totient is φ = 120010429440.

The previous prime is 450212504389. The next prime is 450212504407. The reversal of 450212504400 is 4405212054.

450212504400 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 1 + 250 + 4 + 400 = 666.

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

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 (450212504407) 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, 35169201 + ... + 35181999.

It is an arithmetic number, because the mean of its divisors is an integer number (6679334400).

Almost surely, 2^450212504400 is an apocalyptic number.

450212504400 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 450212504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801520128000).

450212504400 is an abundant number, since it is smaller than the sum of its proper divisors (1152827751600).

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

450212504400 is a wasteful number, since it uses less digits than its factorization.

450212504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16083 (or 16066 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 450212504400 its reverse (4405212054), we get a palindrome (454617716454).

The spelling of 450212504400 in words is "four hundred fifty billion, two hundred twelve million, five hundred four thousand, four hundred".