459251009280 has 576 divisors, whose sum is σ = 1912893588480. Its totient is φ = 102132596736.

The previous prime is 459251009263. The next prime is 459251009291. The reversal of 459251009280 is 82900152954.

It is a happy number.

459251009280 is a `hidden beast` number, since 4 + 59 + 2 + 510 + 0 + 9 + 2 + 80 = 666.

459251009280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×459251009280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8925387 + ... + 8976693.

Almost surely, 2^459251009280 is an apocalyptic number.

459251009280 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 459251009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956446794240).

459251009280 is an abundant number, since it is smaller than the sum of its proper divisors (1453642579200).

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

459251009280 is a wasteful number, since it uses less digits than its factorization.

459251009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51381 (or 51361 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 459251009280 in words is "four hundred fifty-nine billion, two hundred fifty-one million, nine thousand, two hundred eighty".