458924078340 has 1152 divisors, whose sum is σ = 1927432765440. Its totient is φ = 85530525696.

The previous prime is 458924078299. The next prime is 458924078341. The reversal of 458924078340 is 43870429854.

458924078340 is a `hidden beast` number, since 4 + 58 + 9 + 240 + 7 + 8 + 340 = 666.

It is a super-2 number, since 2×458924078340² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (458924078341) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 671923639 + ... + 671924321.

It is an arithmetic number, because the mean of its divisors is an integer number (1673118720).

Almost surely, 2^458924078340 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 458924078340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963716382720).

458924078340 is an abundant number, since it is smaller than the sum of its proper divisors (1468508687100).

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

458924078340 is a wasteful number, since it uses less digits than its factorization.

458924078340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 458924078340 in words is "four hundred fifty-eight billion, nine hundred twenty-four million, seventy-eight thousand, three hundred forty".