450817920 has 256 divisors, whose sum is σ = 1825228800. Its totient is φ = 103016448.

The previous prime is 450817901. The next prime is 450817933. The reversal of 450817920 is 29718054.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119097 + ... + 122823.

It is an arithmetic number, because the mean of its divisors is an integer number (7129800).

Almost surely, 2^450817920 is an apocalyptic number.

450817920 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 450817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912614400).

450817920 is an abundant number, since it is smaller than the sum of its proper divisors (1374410880).

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

450817920 is a wasteful number, since it uses less digits than its factorization.

450817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 450817920 is about 21232.4732426536. The cubic root of 450817920 is about 766.7734327261.

The spelling of 450817920 in words is "four hundred fifty million, eight hundred seventeen thousand, nine hundred twenty".