450101652 has 288 divisors, whose sum is σ = 1476849024. Its totient is φ = 104832000.

The previous prime is 450101647. The next prime is 450101653. The reversal of 450101652 is 256101054.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450101653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4456402 + ... + 4456502.

It is an arithmetic number, because the mean of its divisors is an integer number (5127948).

Almost surely, 2^450101652 is an apocalyptic number.

450101652 is a gapful number since it is divisible by the number (42) 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 450101652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738424512).

450101652 is an abundant number, since it is smaller than the sum of its proper divisors (1026747372).

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

450101652 is a wasteful number, since it uses less digits than its factorization.

450101652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 450101652 is about 21215.5992609212. The cubic root of 450101652 is about 766.3671294467.

The spelling of 450101652 in words is "four hundred fifty million, one hundred one thousand, six hundred fifty-two".