450050240400 has 240 divisors, whose sum is σ = 1461048861888. Its totient is φ = 118407168000.

The previous prime is 450050240351. The next prime is 450050240413. The reversal of 450050240400 is 4042050054.

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 (24).

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, 38522560 + ... + 38534240.

Almost surely, 2^450050240400 is an apocalyptic number.

450050240400 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 450050240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730524430944).

450050240400 is an abundant number, since it is smaller than the sum of its proper divisors (1010998621488).

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

450050240400 is a wasteful number, since it uses less digits than its factorization.

450050240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12130 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 450050240400 its reverse (4042050054), we get a palindrome (454092290454).

The spelling of 450050240400 in words is "four hundred fifty billion, fifty million, two hundred forty thousand, four hundred".