450547552 has 216 divisors, whose sum is σ = 1198129968. Its totient is φ = 164989440.

The previous prime is 450547547. The next prime is 450547577. The reversal of 450547552 is 255745054.

It is a super-2 number, since 2×450547552² = 405986193226385408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14533777 + ... + 14533807.

It is an arithmetic number, because the mean of its divisors is an integer number (5546898).

Almost surely, 2^450547552 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 450547552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599064984).

450547552 is an abundant number, since it is smaller than the sum of its proper divisors (747582416).

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

450547552 is a wasteful number, since it uses less digits than its factorization.

450547552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 140000, while the sum is 37.

The square root of 450547552 is about 21226.1054364667. The cubic root of 450547552 is about 766.6201169805.

The spelling of 450547552 in words is "four hundred fifty million, five hundred forty-seven thousand, five hundred fifty-two".