458397648 has 60 divisors (see below), whose sum is σ = 1350404640. Its totient is φ = 144756288.

The previous prime is 458397637. The next prime is 458397649. The reversal of 458397648 is 846793854.

It is a junction number, because it is equal to n+sod(n) for n = 458397594 and 458397603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458397649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81036 + ... + 86507.

It is an arithmetic number, because the mean of its divisors is an integer number (22506744).

Almost surely, 2^458397648 is an apocalyptic number.

458397648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

458397648 is an abundant number, since it is smaller than the sum of its proper divisors (892006992).

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

458397648 is a wasteful number, since it uses less digits than its factorization.

458397648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167576 (or 167567 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 458397648 is about 21410.2229787548. Note that the first 3 decimals coincide. The cubic root of 458397648 is about 771.0468966715.

The spelling of 458397648 in words is "four hundred fifty-eight million, three hundred ninety-seven thousand, six hundred forty-eight".