450162960 has 160 divisors (see below), whose sum is σ = 1514069760. Its totient is φ = 109983744.

The previous prime is 450162943. The next prime is 450162961. The reversal of 450162960 is 69261054.

It is not an unprimeable number, because it can be changed into a prime (450162961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489381 + ... + 490299.

It is an arithmetic number, because the mean of its divisors is an integer number (9462936).

Almost surely, 2^450162960 is an apocalyptic number.

450162960 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 450162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757034880).

450162960 is an abundant number, since it is smaller than the sum of its proper divisors (1063906800).

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

450162960 is a wasteful number, since it uses less digits than its factorization.

450162960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 450162960 is about 21217.0440919559. The cubic root of 450162960 is about 766.4019232928.

The spelling of 450162960 in words is "four hundred fifty million, one hundred sixty-two thousand, nine hundred sixty".