4052458080 has 384 divisors, whose sum is σ = 15637224960. Its totient is φ = 972011520.

The previous prime is 4052458027. The next prime is 4052458097. The reversal of 4052458080 is 808542504.

4052458080 is a `hidden beast` number, since 4 + 0 + 524 + 58 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5084242 + ... + 5085038.

It is an arithmetic number, because the mean of its divisors is an integer number (40721940).

Almost surely, 2^4052458080 is an apocalyptic number.

4052458080 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 4052458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818612480).

4052458080 is an abundant number, since it is smaller than the sum of its proper divisors (11584766880).

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

4052458080 is a wasteful number, since it uses less digits than its factorization.

4052458080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 4052458080 is about 63658.9198777359. The cubic root of 4052458080 is about 1594.3102700081.

The spelling of 4052458080 in words is "four billion, fifty-two million, four hundred fifty-eight thousand, eighty".