459601027600 has 360 divisors, whose sum is σ = 1349279918336. Its totient is φ = 149288832000.

The previous prime is 459601027591. The next prime is 459601027619. The reversal of 459601027600 is 6720106954.

It is a super-2 number, since 2×459601027600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19493419 + ... + 19516981.

Almost surely, 2^459601027600 is an apocalyptic number.

459601027600 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 459601027600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674639959168).

459601027600 is an abundant number, since it is smaller than the sum of its proper divisors (889678890736).

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

459601027600 is a wasteful number, since it uses less digits than its factorization.

459601027600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23647 (or 23625 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 459601027600 in words is "four hundred fifty-nine billion, six hundred one million, twenty-seven thousand, six hundred".