458742960 has 480 divisors, whose sum is σ = 1861755840. Its totient is φ = 102850560.

The previous prime is 458742953. The next prime is 458742971. The reversal of 458742960 is 69247854.

It is a happy number.

458742960 is a `hidden beast` number, since 4 + 587 + 4 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14798145 + ... + 14798175.

It is an arithmetic number, because the mean of its divisors is an integer number (3878658).

Almost surely, 2^458742960 is an apocalyptic number.

458742960 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 458742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930877920).

458742960 is an abundant number, since it is smaller than the sum of its proper divisors (1403012880).

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

458742960 is a wasteful number, since it uses less digits than its factorization.

458742960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 458742960 is about 21418.2856456814. The cubic root of 458742960 is about 771.2404585416.

The spelling of 458742960 in words is "four hundred fifty-eight million, seven hundred forty-two thousand, nine hundred sixty".