450748320 has 96 divisors (see below), whose sum is σ = 1548953280. Its totient is φ = 109271040.

The previous prime is 450748303. The next prime is 450748327. The reversal of 450748320 is 23847054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (450748327) 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, 37405 + ... + 47964.

It is an arithmetic number, because the mean of its divisors is an integer number (16134930).

Almost surely, 2^450748320 is an apocalyptic number.

450748320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450748320 is an abundant number, since it is smaller than the sum of its proper divisors (1098204960).

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

450748320 is a wasteful number, since it uses less digits than its factorization.

450748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85398 (or 85390 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 450748320 is about 21230.8341805027. The cubic root of 450748320 is about 766.7339709869.

It can be divided in two parts, 4507483 and 20, that added together give a triangular number (4507503 = T₃₀₀₂).

The spelling of 450748320 in words is "four hundred fifty million, seven hundred forty-eight thousand, three hundred twenty".