459879420 has 576 divisors, whose sum is σ = 1888911360. Its totient is φ = 80870400.

The previous prime is 459879397. The next prime is 459879421. The reversal of 459879420 is 24978954.

It is a super-2 number, since 2×459879420² = 422978161879072800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459879420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459879421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14834805 + ... + 14834835.

It is an arithmetic number, because the mean of its divisors is an integer number (3279360).

Almost surely, 2^459879420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459879420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944455680).

459879420 is an abundant number, since it is smaller than the sum of its proper divisors (1429031940).

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

459879420 is a wasteful number, since it uses less digits than its factorization.

459879420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 459879420 is about 21444.7993695441. The cubic root of 459879420 is about 771.8768070133.

The spelling of 459879420 in words is "four hundred fifty-nine million, eight hundred seventy-nine thousand, four hundred twenty".