450886320 has 120 divisors (see below), whose sum is σ = 1563149952. Its totient is φ = 116352000.

The previous prime is 450886313. The next prime is 450886333. The reversal of 450886320 is 23688054.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12220 + ... + 32420.

Almost surely, 2^450886320 is an apocalyptic number.

450886320 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 450886320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781574976).

450886320 is an abundant number, since it is smaller than the sum of its proper divisors (1112263632).

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

450886320 is a wasteful number, since it uses less digits than its factorization.

450886320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20251 (or 20242 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 450886320 is about 21234.0839218460. The cubic root of 450886320 is about 766.8122101336.

The spelling of 450886320 in words is "four hundred fifty million, eight hundred eighty-six thousand, three hundred twenty".