459312480 has 288 divisors, whose sum is σ = 1732243968. Its totient is φ = 109900800.

The previous prime is 459312473. The next prime is 459312499. The reversal of 459312480 is 84213954.

459312480 is a `hidden beast` number, since 459 + 3 + 124 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694745 + ... + 1695015.

It is an arithmetic number, because the mean of its divisors is an integer number (6014736).

Almost surely, 2^459312480 is an apocalyptic number.

459312480 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 459312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866121984).

459312480 is an abundant number, since it is smaller than the sum of its proper divisors (1272931488).

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

459312480 is a wasteful number, since it uses less digits than its factorization.

459312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 459312480 is about 21431.5767035466. The cubic root of 459312480 is about 771.5594863063.

The spelling of 459312480 in words is "four hundred fifty-nine million, three hundred twelve thousand, four hundred eighty".