459414120 has 256 divisors, whose sum is σ = 1623628800. Its totient is φ = 102748160.

The previous prime is 459414113. The next prime is 459414133. The reversal of 459414120 is 21414954.

It is a super-2 number, since 2×459414120² = 422122667310748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1323787 + ... + 1324133.

It is an arithmetic number, because the mean of its divisors is an integer number (6342300).

Almost surely, 2^459414120 is an apocalyptic number.

459414120 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 459414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811814400).

459414120 is an abundant number, since it is smaller than the sum of its proper divisors (1164214680).

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

459414120 is a wasteful number, since it uses less digits than its factorization.

459414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 459414120 is about 21433.9478398171. The cubic root of 459414120 is about 771.6163942036.

The spelling of 459414120 in words is "four hundred fifty-nine million, four hundred fourteen thousand, one hundred twenty".