459340761600 has 2160 divisors, whose sum is σ = 2097967679808. Its totient is φ = 97462517760.

The previous prime is 459340761587. The next prime is 459340761631. The reversal of 459340761600 is 6167043954.

459340761600 is a `hidden beast` number, since 4 + 5 + 9 + 34 + 0 + 7 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

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 215 ways as a sum of consecutive naturals, for example, 6292339164 + ... + 6292339236.

Almost surely, 2^459340761600 is an apocalyptic number.

459340761600 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 459340761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048983839904).

459340761600 is an abundant number, since it is smaller than the sum of its proper divisors (1638626918208).

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

459340761600 is an equidigital number, since it uses as much as digits as its factorization.

459340761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 459340761600 in words is "four hundred fifty-nine billion, three hundred forty million, seven hundred sixty-one thousand, six hundred".