450477660 has 96 divisors (see below), whose sum is σ = 1301832000. Its totient is φ = 116316160.

The previous prime is 450477637. The next prime is 450477661. The reversal of 450477660 is 66774054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450477661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365926 + ... + 367154.

It is an arithmetic number, because the mean of its divisors is an integer number (13560750).

Almost surely, 2^450477660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450477660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650916000).

450477660 is an abundant number, since it is smaller than the sum of its proper divisors (851354340).

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

450477660 is a wasteful number, since it uses less digits than its factorization.

450477660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 450477660 is about 21224.4590037061. The cubic root of 450477660 is about 766.5804738220.

The spelling of 450477660 in words is "four hundred fifty million, four hundred seventy-seven thousand, six hundred sixty".