459478353600 has 336 divisors, whose sum is σ = 1914251289600. Its totient is φ = 105023554560.

The previous prime is 459478353577. The next prime is 459478353613. The reversal of 459478353600 is 6353874954.

459478353600 is a `hidden beast` number, since 459 + 4 + 7 + 83 + 53 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×459478353600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457320 + ... + 1062119.

Almost surely, 2^459478353600 is an apocalyptic number.

459478353600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459478353600 is an abundant number, since it is smaller than the sum of its proper divisors (1454772936000).

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

459478353600 is a wasteful number, since it uses less digits than its factorization.

459478353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519477 (or 1519456 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 459478353600 in words is "four hundred fifty-nine billion, four hundred seventy-eight million, three hundred fifty-three thousand, six hundred".