450166210560 has 720 divisors, whose sum is σ = 1740088127232. Its totient is φ = 106718822400.

The previous prime is 450166210519. The next prime is 450166210567. The reversal of 450166210560 is 65012661054.

It is a tau number, because it is divible by the number of its divisors (720).

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 (450166210567) 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, 381173170 + ... + 381174350.

Almost surely, 2^450166210560 is an apocalyptic number.

450166210560 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 450166210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870044063616).

450166210560 is an abundant number, since it is smaller than the sum of its proper divisors (1289921916672).

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

450166210560 is a wasteful number, since it uses less digits than its factorization.

450166210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 450166210560 in words is "four hundred fifty billion, one hundred sixty-six million, two hundred ten thousand, five hundred sixty".