458145480 has 384 divisors, whose sum is σ = 1660176000. Its totient is φ = 100638720.

The previous prime is 458145437. The next prime is 458145481. The reversal of 458145480 is 84541854.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458145481) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11174260 + ... + 11174300.

It is an arithmetic number, because the mean of its divisors is an integer number (4323375).

Almost surely, 2^458145480 is an apocalyptic number.

458145480 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 458145480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830088000).

458145480 is an abundant number, since it is smaller than the sum of its proper divisors (1202030520).

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

458145480 is a wasteful number, since it uses less digits than its factorization.

458145480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 458145480 is about 21404.3332061524. Note that the first 3 decimals coincide. The cubic root of 458145480 is about 770.9054845019.

The spelling of 458145480 in words is "four hundred fifty-eight million, one hundred forty-five thousand, four hundred eighty".