450553504 has 48 divisors (see below), whose sum is σ = 928682496. Its totient is φ = 214905600.

The previous prime is 450553471. The next prime is 450553513. The reversal of 450553504 is 405355054.

It is a super-3 number, since 3×450553504³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67234 + ... + 73630.

It is an arithmetic number, because the mean of its divisors is an integer number (19347552).

Almost surely, 2^450553504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450553504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464341248).

450553504 is an abundant number, since it is smaller than the sum of its proper divisors (478128992).

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

450553504 is a wasteful number, since it uses less digits than its factorization.

450553504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The square root of 450553504 is about 21226.2456407156. The cubic root of 450553504 is about 766.6234928009.

The spelling of 450553504 in words is "four hundred fifty million, five hundred fifty-three thousand, five hundred four".