450577248 has 192 divisors, whose sum is σ = 1439182080. Its totient is φ = 121651200.

The previous prime is 450577241. The next prime is 450577271. The reversal of 450577248 is 842775054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450577241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340428 + ... + 341748.

It is an arithmetic number, because the mean of its divisors is an integer number (7495740).

Almost surely, 2^450577248 is an apocalyptic number.

450577248 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 450577248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719591040).

450577248 is an abundant number, since it is smaller than the sum of its proper divisors (988604832).

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

450577248 is a wasteful number, since it uses less digits than its factorization.

450577248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 450577248 is about 21226.8049409232. The cubic root of 450577248 is about 766.6369594874.

The spelling of 450577248 in words is "four hundred fifty million, five hundred seventy-seven thousand, two hundred forty-eight".