459450720 has 144 divisors (see below), whose sum is σ = 1579005792. Its totient is φ = 121651200.

The previous prime is 459450707. The next prime is 459450749. The reversal of 459450720 is 27054954.

459450720 is a `hidden beast` number, since 45 + 94 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×459450720² = 422189928217036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 216384 + ... + 218496.

It is an arithmetic number, because the mean of its divisors is an integer number (10965318).

Almost surely, 2^459450720 is an apocalyptic number.

459450720 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 459450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789502896).

459450720 is an abundant number, since it is smaller than the sum of its proper divisors (1119555072).

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

459450720 is a wasteful number, since it uses less digits than its factorization.

459450720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 459450720 is about 21434.8016085990. The cubic root of 459450720 is about 771.6368843663.

The spelling of 459450720 in words is "four hundred fifty-nine million, four hundred fifty thousand, seven hundred twenty".