458772480 has 312 divisors, whose sum is σ = 1686690720. Its totient is φ = 115015680.

The previous prime is 458772473. The next prime is 458772487. The reversal of 458772480 is 84277854.

It is an interprime number because it is at equal distance from previous prime (458772473) and next prime (458772487).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458772487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3502015 + ... + 3502145.

It is an arithmetic number, because the mean of its divisors is an integer number (5406060).

Almost surely, 2^458772480 is an apocalyptic number.

458772480 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 458772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843345360).

458772480 is an abundant number, since it is smaller than the sum of its proper divisors (1227918240).

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

458772480 is a wasteful number, since it uses less digits than its factorization.

458772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 458772480 is about 21418.9747653803. The cubic root of 458772480 is about 771.2570012332.

The spelling of 458772480 in words is "four hundred fifty-eight million, seven hundred seventy-two thousand, four hundred eighty".