450361160 has 64 divisors (see below), whose sum is σ = 1075420800. Its totient is φ = 169371136.

The previous prime is 450361159. The next prime is 450361169. The reversal of 450361160 is 61163054.

It is not an unprimeable number, because it can be changed into a prime (450361169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50132 + ... + 58428.

It is an arithmetic number, because the mean of its divisors is an integer number (16803450).

Almost surely, 2^450361160 is an apocalyptic number.

450361160 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 450361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537710400).

450361160 is an abundant number, since it is smaller than the sum of its proper divisors (625059640).

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

450361160 is a wasteful number, since it uses less digits than its factorization.

450361160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8390 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 450361160 is about 21221.7143511075. The cubic root of 450361160 is about 766.5143852136.

The spelling of 450361160 in words is "four hundred fifty million, three hundred sixty-one thousand, one hundred sixty".