450099300 has 216 divisors, whose sum is σ = 1540880544. Its totient is φ = 101122560.

The previous prime is 450099269. The next prime is 450099301. The reversal of 450099300 is 3990054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (450099301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 984672 + ... + 985128.

Almost surely, 2^450099300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450099300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770440272).

450099300 is an abundant number, since it is smaller than the sum of its proper divisors (1090781244).

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

450099300 is a wasteful number, since it uses less digits than its factorization.

450099300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 450099300 is about 21215.5438299375. The cubic root of 450099300 is about 766.3657945640.

The spelling of 450099300 in words is "four hundred fifty million, ninety-nine thousand, three hundred".