458778252 has 72 divisors (see below), whose sum is σ = 1143749376. Its totient is φ = 143098112.

The previous prime is 458778251. The next prime is 458778283. The reversal of 458778252 is 252877854.

It is not an unprimeable number, because it can be changed into a prime (458778251) 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, 911833 + ... + 912335.

It is an arithmetic number, because the mean of its divisors is an integer number (15885408).

Almost surely, 2^458778252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458778252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571874688).

458778252 is an abundant number, since it is smaller than the sum of its proper divisors (684971124).

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

458778252 is a wasteful number, since it uses less digits than its factorization.

458778252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 788 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 458778252 is about 21419.1095052992. The cubic root of 458778252 is about 771.2602357172.

The spelling of 458778252 in words is "four hundred fifty-eight million, seven hundred seventy-eight thousand, two hundred fifty-two".