450533016 has 320 divisors, whose sum is σ = 1456646400. Its totient is φ = 129330432.

The previous prime is 450533011. The next prime is 450533063. The reversal of 450533016 is 610335054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450533011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10477491 + ... + 10477533.

It is an arithmetic number, because the mean of its divisors is an integer number (4552020).

Almost surely, 2^450533016 is an apocalyptic number.

450533016 is a gapful number since it is divisible by the number (46) 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 450533016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728323200).

450533016 is an abundant number, since it is smaller than the sum of its proper divisors (1006113384).

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

450533016 is a wasteful number, since it uses less digits than its factorization.

450533016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 450533016 is about 21225.7630251541. The cubic root of 450533016 is about 766.6118724124.

The spelling of 450533016 in words is "four hundred fifty million, five hundred thirty-three thousand, sixteen".