459784137456 has 960 divisors, whose sum is σ = 1652487091200. Its totient is φ = 123295011840.

The previous prime is 459784137419. The next prime is 459784137469. The reversal of 459784137456 is 654731487954.

459784137456 is a `hidden beast` number, since 4 + 5 + 97 + 84 + 13 + 7 + 456 = 666.

It is a super-2 number, since 2×459784137456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 459784137393 and 459784137402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3509802511 + ... + 3509802641.

It is an arithmetic number, because the mean of its divisors is an integer number (1721340720).

Almost surely, 2^459784137456 is an apocalyptic number.

459784137456 is a gapful number since it is divisible by the number (46) 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 459784137456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826243545600).

459784137456 is an abundant number, since it is smaller than the sum of its proper divisors (1192702953744).

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

459784137456 is a wasteful number, since it uses less digits than its factorization.

459784137456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 255 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 459784137456 in words is "four hundred fifty-nine billion, seven hundred eighty-four million, one hundred thirty-seven thousand, four hundred fifty-six".