458400480 has 96 divisors (see below), whose sum is σ = 1451520000. Its totient is φ = 121600512.

The previous prime is 458400473. The next prime is 458400577. The reversal of 458400480 is 84004854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 93121 + ... + 97919.

It is an arithmetic number, because the mean of its divisors is an integer number (15120000).

Almost surely, 2^458400480 is an apocalyptic number.

458400480 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 458400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

458400480 is an abundant number, since it is smaller than the sum of its proper divisors (993119520).

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

458400480 is a wasteful number, since it uses less digits than its factorization.

458400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 458400480 is about 21410.2891152829. The cubic root of 458400480 is about 771.0484845217.

The spelling of 458400480 in words is "four hundred fifty-eight million, four hundred thousand, four hundred eighty".