459420768 has 192 divisors, whose sum is σ = 1424908800. Its totient is φ = 143700480.

The previous prime is 459420757. The next prime is 459420839. The reversal of 459420768 is 867024954.

It is a happy number.

It is a super-2 number, since 2×459420768² = 422134884139419648, 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, 1212003 + ... + 1212381.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2^459420768 is an apocalyptic number.

459420768 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 459420768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

459420768 is an abundant number, since it is smaller than the sum of its proper divisors (965488032).

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

459420768 is a wasteful number, since it uses less digits than its factorization.

459420768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 459420768 is about 21434.1029203464. The cubic root of 459420768 is about 771.6201161042.

The spelling of 459420768 in words is "four hundred fifty-nine million, four hundred twenty thousand, seven hundred sixty-eight".