459800000 has 252 divisors, whose sum is σ = 1319524920. Its totient is φ = 158400000.

The previous prime is 459799993. The next prime is 459800021. The reversal of 459800000 is 8954.

It is a super-2 number, since 2×459800000² = 422832080000000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24199991 + ... + 24200009.

It is an arithmetic number, because the mean of its divisors is an integer number (5236210).

Almost surely, 2^459800000 is an apocalyptic number.

459800000 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 459800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659762460).

459800000 is an abundant number, since it is smaller than the sum of its proper divisors (859724920).

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

459800000 is an equidigital number, since it uses as much as digits as its factorization.

459800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 459800000 is about 21442.9475585797. The cubic root of 459800000 is about 771.8323707382.

Adding to 459800000 its reverse (8954), we get a palindrome (459808954).

It can be divided in two parts, 45 and 9800000, that multiplied together give a square (441000000 = 21000²).

The spelling of 459800000 in words is "four hundred fifty-nine million, eight hundred thousand".