458451104 has 72 divisors (see below), whose sum is σ = 971305020. Its totient is φ = 212934656.

The previous prime is 458451101. The next prime is 458451107. The reversal of 458451104 is 401154854.

It is an interprime number because it is at equal distance from previous prime (458451101) and next prime (458451107).

It can be written as a sum of positive squares in 6 ways, for example, as 177955600 + 280495504 = 13340^2 + 16748^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (458451101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 822794 + ... + 823350.

Almost surely, 2^458451104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485652510).

458451104 is an abundant number, since it is smaller than the sum of its proper divisors (512853916).

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

458451104 is a wasteful number, since it uses less digits than its factorization.

458451104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 458451104 is about 21411.4713179641. The cubic root of 458451104 is about 771.0768673611.

The spelling of 458451104 in words is "four hundred fifty-eight million, four hundred fifty-one thousand, one hundred four".