458870728320 has 640 divisors, whose sum is σ = 1667769523200. Its totient is φ = 120215715840.

The previous prime is 458870728271. The next prime is 458870728367. The reversal of 458870728320 is 23827078854.

458870728320 is a `hidden beast` number, since 4 + 588 + 7 + 0 + 7 + 28 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1250328777 + ... + 1250329143.

It is an arithmetic number, because the mean of its divisors is an integer number (2605889880).

Almost surely, 2^458870728320 is an apocalyptic number.

458870728320 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 458870728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833884761600).

458870728320 is an abundant number, since it is smaller than the sum of its proper divisors (1208898794880).

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

458870728320 is a wasteful number, since it uses less digits than its factorization.

458870728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 458870728320 in words is "four hundred fifty-eight billion, eight hundred seventy million, seven hundred twenty-eight thousand, three hundred twenty".