458976960 has 504 divisors, whose sum is σ = 1827300384. Its totient is φ = 105431040.

The previous prime is 458976953. The next prime is 458977019. The reversal of 458976960 is 69679854.

It is a junction number, because it is equal to n+sod(n) for n = 458976897 and 458976906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11194540 + ... + 11194580.

It is an arithmetic number, because the mean of its divisors is an integer number (3625596).

Almost surely, 2^458976960 is an apocalyptic number.

458976960 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 458976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913650192).

458976960 is an abundant number, since it is smaller than the sum of its proper divisors (1368323424).

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

458976960 is a wasteful number, since it uses less digits than its factorization.

458976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 458976960 is about 21423.7475713284. The cubic root of 458976960 is about 771.3715701563.

The spelling of 458976960 in words is "four hundred fifty-eight million, nine hundred seventy-six thousand, nine hundred sixty".