5814422460 has 192 divisors, whose sum is σ = 22553072640. Its totient is φ = 1208183040.

The previous prime is 5814422431. The next prime is 5814422477. The reversal of 5814422460 is 642244185.

5814422460 is a `hidden beast` number, since 58 + 144 + 2 + 2 + 460 = 666.

It is a super-3 number, since 3×5814422460³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28339 + ... + 111498.

It is an arithmetic number, because the mean of its divisors is an integer number (117463920).

Almost surely, 2^5814422460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5814422460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276536320).

5814422460 is an abundant number, since it is smaller than the sum of its proper divisors (16738650180).

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

5814422460 is a wasteful number, since it uses less digits than its factorization.

5814422460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139873 (or 139865 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5814422460 is about 76252.3603569096. The cubic root of 5814422460 is about 1798.1897912460.

The spelling of 5814422460 in words is "five billion, eight hundred fourteen million, four hundred twenty-two thousand, four hundred sixty".