459450000 has 180 divisors, whose sum is σ = 1608748596. Its totient is φ = 122400000.

The previous prime is 459449983. The next prime is 459450029. The reversal of 459450000 is 54954.

It can be written as a sum of positive squares in 6 ways, for example, as 364504464 + 94945536 = 19092^2 + 9744^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×459450000² = 422188605000000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449490 + ... + 450510.

Almost surely, 2^459450000 is an apocalyptic number.

459450000 is a gapful number since it is divisible by the number (40) 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 459450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804374298).

459450000 is an abundant number, since it is smaller than the sum of its proper divisors (1149298596).

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

459450000 is a wasteful number, since it uses less digits than its factorization.

459450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 459450000 is about 21434.7848134755. The cubic root of 459450000 is about 771.6364812916.

The spelling of 459450000 in words is "four hundred fifty-nine million, four hundred fifty thousand".