458672928 has 144 divisors (see below), whose sum is σ = 1409625504. Its totient is φ = 130206720.

The previous prime is 458672927. The next prime is 458672987. The reversal of 458672928 is 829276854.

Its product of digits (1935360) is a multiple of the sum of its prime divisors (640).

It is not an unprimeable number, because it can be changed into a prime (458672927) 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, 1321651 + ... + 1321997.

It is an arithmetic number, because the mean of its divisors is an integer number (9789066).

Almost surely, 2^458672928 is an apocalyptic number.

458672928 is a gapful number since it is divisible by the number (48) 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 458672928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704812752).

458672928 is an abundant number, since it is smaller than the sum of its proper divisors (950952576).

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

458672928 is a wasteful number, since it uses less digits than its factorization.

458672928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 458672928 is about 21416.6507185414. The cubic root of 458672928 is about 771.2012105202.

The spelling of 458672928 in words is "four hundred fifty-eight million, six hundred seventy-two thousand, nine hundred twenty-eight".