450266960 has 80 divisors (see below), whose sum is σ = 1229921280. Its totient is φ = 151134720.

The previous prime is 450266933. The next prime is 450266987. The reversal of 450266960 is 69662054.

It is an interprime number because it is at equal distance from previous prime (450266933) and next prime (450266987).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8240 + ... + 31119.

It is an arithmetic number, because the mean of its divisors is an integer number (15374016).

Almost surely, 2^450266960 is an apocalyptic number.

450266960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450266960 is an abundant number, since it is smaller than the sum of its proper divisors (779654320).

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

450266960 is a wasteful number, since it uses less digits than its factorization.

450266960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39396 (or 39390 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 450266960 is about 21219.4948101975. The cubic root of 450266960 is about 766.4609387086.

The spelling of 450266960 in words is "four hundred fifty million, two hundred sixty-six thousand, nine hundred sixty".