450350100 has 54 divisors (see below), whose sum is σ = 1411600190. Its totient is φ = 120093120.

The previous prime is 450350071. The next prime is 450350119. The reversal of 450350100 is 1053054.

It can be written as a sum of positive squares in 3 ways, for example, as 127644804 + 322705296 = 11298^2 + 17964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 249295 + ... + 251094.

Almost surely, 2^450350100 is an apocalyptic number.

It is an amenable number.

450350100 is an abundant number, since it is smaller than the sum of its proper divisors (961250090).

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

450350100 is a wasteful number, since it uses less digits than its factorization.

450350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500409 (or 500399 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 450350100 is about 21221.4537673553. The cubic root of 450350100 is about 766.5081104581.

The spelling of 450350100 in words is "four hundred fifty million, three hundred fifty thousand, one hundred".