458425440 has 288 divisors, whose sum is σ = 1765622880. Its totient is φ = 111006720.

The previous prime is 458425439. The next prime is 458425463. The reversal of 458425440 is 44524854.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 458425395 and 458425404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522282 + ... + 523158.

It is an arithmetic number, because the mean of its divisors is an integer number (6130635).

Almost surely, 2^458425440 is an apocalyptic number.

458425440 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 458425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882811440).

458425440 is an abundant number, since it is smaller than the sum of its proper divisors (1307197440).

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

458425440 is a wasteful number, since it uses less digits than its factorization.

458425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 458425440 is about 21410.8720046616. The cubic root of 458425440 is about 771.0624788503.

The spelling of 458425440 in words is "four hundred fifty-eight million, four hundred twenty-five thousand, four hundred forty".