450753520 has 80 divisors (see below), whose sum is σ = 1225635840. Its totient is φ = 150941952.

The previous prime is 450753503. The next prime is 450753551. The reversal of 450753520 is 25357054.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14721 + ... + 33439.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 2^450753520 is an apocalyptic number.

450753520 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 450753520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612817920).

450753520 is an abundant number, since it is smaller than the sum of its proper divisors (774882320).

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

450753520 is a wasteful number, since it uses less digits than its factorization.

450753520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18782 (or 18776 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 31.

The square root of 450753520 is about 21230.9566435429. The cubic root of 450753520 is about 766.7369194182.

The spelling of 450753520 in words is "four hundred fifty million, seven hundred fifty-three thousand, five hundred twenty".