450090950400 has 3240 divisors, whose sum is σ = 2202588400320. Its totient is φ = 89738772480.

The previous prime is 450090950389. The next prime is 450090950401. The reversal of 450090950400 is 4059090054.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450090950401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9576403177 + ... + 9576403223.

Almost surely, 2^450090950400 is an apocalyptic number.

450090950400 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 450090950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101294200160).

450090950400 is an abundant number, since it is smaller than the sum of its proper divisors (1752497449920).

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

450090950400 is a wasteful number, since it uses less digits than its factorization.

450090950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 450090950400 in words is "four hundred fifty billion, ninety million, nine hundred fifty thousand, four hundred".