459808440 has 384 divisors, whose sum is σ = 1770854400. Its totient is φ = 93450240.

The previous prime is 459808403. The next prime is 459808451. The reversal of 459808440 is 44808954.

It is a super-2 number, since 2×459808440² = 422847602990467200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 459808392 and 459808401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5820321 + ... + 5820399.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2^459808440 is an apocalyptic number.

459808440 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 459808440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885427200).

459808440 is an abundant number, since it is smaller than the sum of its proper divisors (1311045960).

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

459808440 is a wasteful number, since it uses less digits than its factorization.

459808440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 459808440 is about 21443.1443589787. The cubic root of 459808440 is about 771.8370932446.

The spelling of 459808440 in words is "four hundred fifty-nine million, eight hundred eight thousand, four hundred forty".