458068950 has 72 divisors (see below), whose sum is σ = 1249129128. Its totient is φ = 120320640.

The previous prime is 458068937. The next prime is 458068987. The reversal of 458068950 is 59860854.

458068950 is a `hidden beast` number, since 4 + 580 + 68 + 9 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 458068896 and 458068905.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 22554 + ... + 37746.

Almost surely, 2^458068950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458068950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624564564).

458068950 is an abundant number, since it is smaller than the sum of its proper divisors (791060178).

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

458068950 is a wasteful number, since it uses less digits than its factorization.

458068950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278 (or 15270 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 458068950 is about 21402.5454093666. The cubic root of 458068950 is about 770.8625573207.

It can be divided in two parts, 45806 and 8950, that added together give a square (54756 = 234²).

The spelling of 458068950 in words is "four hundred fifty-eight million, sixty-eight thousand, nine hundred fifty".