450665661600 has 3888 divisors, whose sum is σ = 2328165612864. Its totient is φ = 84304281600.

The previous prime is 450665661599. The next prime is 450665661601. The reversal of 450665661600 is 6166566054.

It is an interprime number because it is at equal distance from previous prime (450665661599) and next prime (450665661601).

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (450665661601) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 19594159189 + ... + 19594159211.

It is an arithmetic number, because the mean of its divisors is an integer number (598808028).

Almost surely, 2^450665661600 is an apocalyptic number.

450665661600 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 450665661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164082806432).

450665661600 is an abundant number, since it is smaller than the sum of its proper divisors (1877499951264).

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

450665661600 is a wasteful number, since it uses less digits than its factorization.

450665661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 450665661600 in words is "four hundred fifty billion, six hundred sixty-five million, six hundred sixty-one thousand, six hundred".