450152430 has 128 divisors (see below), whose sum is σ = 1338494976. Its totient is φ = 94348800.

The previous prime is 450152419. The next prime is 450152491. The reversal of 450152430 is 34251054.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 450152430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 493675 + ... + 494585.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2^450152430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450152430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669247488).

450152430 is an abundant number, since it is smaller than the sum of its proper divisors (888342546).

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

450152430 is a wasteful number, since it uses less digits than its factorization.

450152430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 450152430 is about 21216.7959409521. The cubic root of 450152430 is about 766.3959474752.

The spelling of 450152430 in words is "four hundred fifty million, one hundred fifty-two thousand, four hundred thirty".