459451248 has 160 divisors (see below), whose sum is σ = 1331914752. Its totient is φ = 135782400.

The previous prime is 459451229. The next prime is 459451253. The reversal of 459451248 is 842154954.

It is a super-2 number, since 2×459451248² = 422190898577515008, 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 31 ways as a sum of consecutive naturals, for example, 1036915 + ... + 1037357.

Almost surely, 2^459451248 is an apocalyptic number.

459451248 is a gapful number since it is divisible by the number (48) 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 459451248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665957376).

459451248 is an abundant number, since it is smaller than the sum of its proper divisors (872463504).

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

459451248 is a wasteful number, since it uses less digits than its factorization.

459451248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 459451248 is about 21434.8139250146. The cubic root of 459451248 is about 771.6371799541.

The spelling of 459451248 in words is "four hundred fifty-nine million, four hundred fifty-one thousand, two hundred forty-eight".