450525153 has 16 divisors (see below), whose sum is σ = 647317440. Its totient is φ = 277070784.

The previous prime is 450525149. The next prime is 450525157. The reversal of 450525153 is 351525054.

It is a happy number.

450525153 is a nontrivial binomial coefficient, being equal to C(30018, 2).

It is an interprime number because it is at equal distance from previous prime (450525149) and next prime (450525157).

It is not a de Polignac number, because 450525153 - 2² = 450525149 is a prime.

It is a super-3 number, since 3×450525153³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450525153.

It is not an unprimeable number, because it can be changed into a prime (450525157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87550 + ... + 92552.

It is an arithmetic number, because the mean of its divisors is an integer number (40457340).

Almost surely, 2^450525153 is an apocalyptic number.

450525153 is the 30017-th triangular number and also the 15009-th hexagonal number.

It is an amenable number.

450525153 is a deficient number, since it is larger than the sum of its proper divisors (196792287).

450525153 is a wasteful number, since it uses less digits than its factorization.

450525153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328.

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 450525153 is about 21225.5778013226. The cubic root of 450525153 is about 766.6074125808.

Subtracting from 450525153 its reverse (351525054), we obtain a palindrome (99000099).

It can be divided in two parts, 45052 and 5153, that added together give a palindrome (50205).

The spelling of 450525153 in words is "four hundred fifty million, five hundred twenty-five thousand, one hundred fifty-three".