459000000 has 392 divisors, whose sum is σ = 1785914640. Its totient is φ = 115200000.

The previous prime is 458999993. The next prime is 459000007. The reversal of 459000000 is 954.

It is an interprime number because it is at equal distance from previous prime (458999993) and next prime (459000007).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (459000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26999992 + ... + 27000008.

Almost surely, 2^459000000 is an apocalyptic number.

459000000 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 459000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892957320).

459000000 is an abundant number, since it is smaller than the sum of its proper divisors (1326914640).

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

459000000 is an frugal number, since it uses more digits than its factorization.

459000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 459000000 is about 21424.2852856285. The cubic root of 459000000 is about 771.3844771975.

Adding to 459000000 its reverse (954), we get a palindrome (459000954).

The spelling of 459000000 in words is "four hundred fifty-nine million", and thus it is an aban number.