458449482400 has 144 divisors (see below), whose sum is σ = 1377464586624. Its totient is φ = 145091681280.

The previous prime is 458449482383. The next prime is 458449482409. The reversal of 458449482400 is 4284944854.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (458449482409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3075892 + ... + 3221491.

It is an arithmetic number, because the mean of its divisors is an integer number (9565726296).

Almost surely, 2^458449482400 is an apocalyptic number.

458449482400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458449482400 is an abundant number, since it is smaller than the sum of its proper divisors (919015104224).

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

458449482400 is a wasteful number, since it uses less digits than its factorization.

458449482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297423 (or 6297410 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 52.

The spelling of 458449482400 in words is "four hundred fifty-eight billion, four hundred forty-nine million, four hundred eighty-two thousand, four hundred".