458580480 has 240 divisors, whose sum is σ = 1539705024. Its totient is φ = 116408320.

The previous prime is 458580467. The next prime is 458580487. The reversal of 458580480 is 84085854.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458580487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6458845 + ... + 6458915.

Almost surely, 2^458580480 is an apocalyptic number.

458580480 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 458580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769852512).

458580480 is an abundant number, since it is smaller than the sum of its proper divisors (1081124544).

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

458580480 is an equidigital number, since it uses as much as digits as its factorization.

458580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 458580480 is about 21414.4922891018. The cubic root of 458580480 is about 771.1493937856.

The spelling of 458580480 in words is "four hundred fifty-eight million, five hundred eighty thousand, four hundred eighty".