458421250560 has 1920 divisors, whose sum is σ = 2011551252480. Its totient is φ = 86537797632.

The previous prime is 458421250543. The next prime is 458421250561. The reversal of 458421250560 is 65052124854.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458421250561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5802800601 + ... + 5802800679.

It is an arithmetic number, because the mean of its divisors is an integer number (1047682944).

Almost surely, 2^458421250560 is an apocalyptic number.

458421250560 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 458421250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005775626240).

458421250560 is an abundant number, since it is smaller than the sum of its proper divisors (1553130001920).

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

458421250560 is a wasteful number, since it uses less digits than its factorization.

458421250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 458421250560 in words is "four hundred fifty-eight billion, four hundred twenty-one million, two hundred fifty thousand, five hundred sixty".