450254928 has 160 divisors (see below), whose sum is σ = 1301702400. Its totient is φ = 133439488.

The previous prime is 450254897. The next prime is 450254929. The reversal of 450254928 is 829452054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450254929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254013 + ... + 1254371.

It is an arithmetic number, because the mean of its divisors is an integer number (8135640).

Almost surely, 2^450254928 is an apocalyptic number.

450254928 is a gapful number since it is divisible by the number (48) 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 450254928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650851200).

450254928 is an abundant number, since it is smaller than the sum of its proper divisors (851447472).

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

450254928 is a wasteful number, since it uses less digits than its factorization.

450254928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 450254928 is about 21219.2112954275. The cubic root of 450254928 is about 766.4541115438.

The spelling of 450254928 in words is "four hundred fifty million, two hundred fifty-four thousand, nine hundred twenty-eight".