459940320 has 288 divisors, whose sum is σ = 1815270912. Its totient is φ = 103873536.

The previous prime is 459940309. The next prime is 459940333. The reversal of 459940320 is 23049954.

459940320 is a `hidden beast` number, since 4 + 599 + 40 + 3 + 20 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038019 + ... + 1038461.

It is an arithmetic number, because the mean of its divisors is an integer number (6303024).

Almost surely, 2^459940320 is an apocalyptic number.

459940320 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 459940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907635456).

459940320 is an abundant number, since it is smaller than the sum of its proper divisors (1355330592).

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

459940320 is a wasteful number, since it uses less digits than its factorization.

459940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 459940320 is about 21446.2192472240. The cubic root of 459940320 is about 771.9108776999.

The spelling of 459940320 in words is "four hundred fifty-nine million, nine hundred forty thousand, three hundred twenty".