450208704000 has 640 divisors, whose sum is σ = 1661042972160. Its totient is φ = 107261952000.

The previous prime is 450208703983. The next prime is 450208704013. The reversal of 450208704000 is 407802054.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124606194 + ... + 124609806.

It is an arithmetic number, because the mean of its divisors is an integer number (2595379644).

Almost surely, 2^450208704000 is an apocalyptic number.

450208704000 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 450208704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830521486080).

450208704000 is an abundant number, since it is smaller than the sum of its proper divisors (1210834268160).

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

450208704000 is a wasteful number, since it uses less digits than its factorization.

450208704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 450208704000 in words is "four hundred fifty billion, two hundred eight million, seven hundred four thousand".