459470880064 has 140 divisors (see below), whose sum is σ = 1083747917844. Its totient is φ = 193197268992.

The previous prime is 459470880061. The next prime is 459470880067. The reversal of 459470880064 is 460088074954.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (459470880061) and next prime (459470880067).

It can be written as a sum of positive squares in 2 ways, for example, as 305499398400 + 153971481664 = 552720^2 + 392392^2 .

It is a super-2 number, since 2×459470880064² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459470879987 and 459470880014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459470880061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8115984 + ... + 8172400.

Almost surely, 2^459470880064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459470880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541873958922).

459470880064 is an abundant number, since it is smaller than the sum of its proper divisors (624277037780).

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

459470880064 is an frugal number, since it uses more digits than its factorization.

459470880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56510 (or 56479 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 459470880064 in words is "four hundred fifty-nine billion, four hundred seventy million, eight hundred eighty thousand, sixty-four".