459877461120 has 2048 divisors, whose sum is σ = 2185292390400. Its totient is φ = 89579520000.

The previous prime is 459877461023. The next prime is 459877461133. The reversal of 459877461120 is 21164778954.

459877461120 is a `hidden beast` number, since 4 + 5 + 98 + 77 + 461 + 1 + 20 = 666.

It is a super-2 number, since 2×459877461120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1832180995 + ... + 1832181245.

It is an arithmetic number, because the mean of its divisors is an integer number (1067037300).

Almost surely, 2^459877461120 is an apocalyptic number.

459877461120 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 459877461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092646195200).

459877461120 is an abundant number, since it is smaller than the sum of its proper divisors (1725414929280).

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

459877461120 is a wasteful number, since it uses less digits than its factorization.

459877461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 459877461120 in words is "four hundred fifty-nine billion, eight hundred seventy-seven million, four hundred sixty-one thousand, one hundred twenty".