460120227840 has 1536 divisors, whose sum is σ = 2051889315840. Its totient is φ = 96315899904.

The previous prime is 460120227839. The next prime is 460120227841. The reversal of 460120227840 is 48722021064.

460120227840 is a `hidden beast` number, since 4 + 601 + 2 + 0 + 2 + 2 + 7 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (460120227839) and next prime (460120227841).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×460120227840² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 460120227795 and 460120227804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460120227841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3622993857 + ... + 3622993983.

It is an arithmetic number, because the mean of its divisors is an integer number (1335865440).

Almost surely, 2^460120227840 is an apocalyptic number.

460120227840 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 460120227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025944657920).

460120227840 is an abundant number, since it is smaller than the sum of its proper divisors (1591769088000).

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

460120227840 is an equidigital number, since it uses as much as digits as its factorization.

460120227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 460120227840 in words is "four hundred sixty billion, one hundred twenty million, two hundred twenty-seven thousand, eight hundred forty".