458781480 has 96 divisors (see below), whose sum is σ = 1498840200. Its totient is φ = 121701888.

The previous prime is 458781457. The next prime is 458781503. The reversal of 458781480 is 84187854.

It is an interprime number because it is at equal distance from previous prime (458781457) and next prime (458781503).

It can be written as a sum of positive squares in 4 ways, for example, as 382358916 + 76422564 = 19554^2 + 8742^2 .

It is a super-3 number, since 3×458781480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67686 + ... + 74154.

Almost surely, 2^458781480 is an apocalyptic number.

458781480 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 458781480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749420100).

458781480 is an abundant number, since it is smaller than the sum of its proper divisors (1040058720).

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

458781480 is a wasteful number, since it uses less digits than its factorization.

458781480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 458781480 is about 21419.1848584394. The cubic root of 458781480 is about 771.2620445956.

The spelling of 458781480 in words is "four hundred fifty-eight million, seven hundred eighty-one thousand, four hundred eighty".