450252432 has 200 divisors, whose sum is σ = 1538330112. Its totient is φ = 124416000.

The previous prime is 450252431. The next prime is 450252461. The reversal of 450252432 is 234252054.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 450252396 and 450252405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450252431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280432 + ... + 282032.

Almost surely, 2^450252432 is an apocalyptic number.

450252432 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 450252432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769165056).

450252432 is an abundant number, since it is smaller than the sum of its proper divisors (1088077680).

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

450252432 is a wasteful number, since it uses less digits than its factorization.

450252432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 450252432 is about 21219.1524807189. The cubic root of 450252432 is about 766.4526952550.

The spelling of 450252432 in words is "four hundred fifty million, two hundred fifty-two thousand, four hundred thirty-two".