458838480 has 160 divisors (see below), whose sum is σ = 1474441344. Its totient is φ = 117946368.

The previous prime is 458838473. The next prime is 458838481. The reversal of 458838480 is 84838854.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458838481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1447282 + ... + 1447598.

Almost surely, 2^458838480 is an apocalyptic number.

458838480 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 458838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737220672).

458838480 is an abundant number, since it is smaller than the sum of its proper divisors (1015602864).

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

458838480 is a wasteful number, since it uses less digits than its factorization.

458838480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The square root of 458838480 is about 21420.5153999618. The cubic root of 458838480 is about 771.2939843592.

The spelling of 458838480 in words is "four hundred fifty-eight million, eight hundred thirty-eight thousand, four hundred eighty".