458460240 has 160 divisors (see below), whose sum is σ = 1676845056. Its totient is φ = 101399040.

The previous prime is 458460239. The next prime is 458460263. The reversal of 458460240 is 42064854.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47679 + ... + 56481.

Almost surely, 2^458460240 is an apocalyptic number.

458460240 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 458460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838422528).

458460240 is an abundant number, since it is smaller than the sum of its proper divisors (1218384816).

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

458460240 is a wasteful number, since it uses less digits than its factorization.

458460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 458460240 is about 21411.6846604839. The cubic root of 458460240 is about 771.0819893260.

The spelling of 458460240 in words is "four hundred fifty-eight million, four hundred sixty thousand, two hundred forty".