458448960 has 56 divisors (see below), whose sum is σ = 1455578496. Its totient is φ = 122252800.

The previous prime is 458448959. The next prime is 458448961. The reversal of 458448960 is 69844854.

It is an interprime number because it is at equal distance from previous prime (458448959) and next prime (458448961).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458448961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237816 + ... + 239735.

Almost surely, 2^458448960 is an apocalyptic number.

458448960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458448960 is an abundant number, since it is smaller than the sum of its proper divisors (997129536).

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

458448960 is a wasteful number, since it uses less digits than its factorization.

458448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477571 (or 477561 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 458448960 is about 21411.4212512855. The cubic root of 458448960 is about 771.0756653489.

The spelling of 458448960 in words is "four hundred fifty-eight million, four hundred forty-eight thousand, nine hundred sixty".