459020120832 has 2160 divisors, whose sum is σ = 1894699699200. Its totient is φ = 109107855360.

The previous prime is 459020120789. The next prime is 459020120837. The reversal of 459020120832 is 238021020954.

It is a happy number.

459020120832 is a `hidden beast` number, since 4 + 590 + 20 + 12 + 0 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (459020120837) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7780002019 + ... + 7780002077.

Almost surely, 2^459020120832 is an apocalyptic number.

459020120832 is a gapful number since it is divisible by the number (42) 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 459020120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947349849600).

459020120832 is an abundant number, since it is smaller than the sum of its proper divisors (1435679578368).

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

459020120832 is a wasteful number, since it uses less digits than its factorization.

459020120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 459020120832 in words is "four hundred fifty-nine billion, twenty million, one hundred twenty thousand, eight hundred thirty-two".