458545940160 has 448 divisors, whose sum is σ = 1844901633024. Its totient is φ = 93719347200.

The previous prime is 458545940147. The next prime is 458545940173. The reversal of 458545940160 is 61049545854.

It is an interprime number because it is at equal distance from previous prime (458545940147) and next prime (458545940173).

It is a tau number, because it is divible by the number of its divisors (448).

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, 4458274 + ... + 4559966.

Almost surely, 2^458545940160 is an apocalyptic number.

458545940160 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 458545940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922450816512).

458545940160 is an abundant number, since it is smaller than the sum of its proper divisors (1386355692864).

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

458545940160 is a wasteful number, since it uses less digits than its factorization.

458545940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101792 (or 101782 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 458545940160 in words is "four hundred fifty-eight billion, five hundred forty-five million, nine hundred forty thousand, one hundred sixty".