4457052864 has 280 divisors, whose sum is σ = 14728716288. Its totient is φ = 1321090560.

The previous prime is 4457052857. The next prime is 4457052881. The reversal of 4457052864 is 4682507544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2679297 + ... + 2680959.

Almost surely, 2^4457052864 is an apocalyptic number.

4457052864 is a gapful number since it is divisible by the number (44) 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 4457052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7364358144).

4457052864 is an abundant number, since it is smaller than the sum of its proper divisors (10271663424).

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

4457052864 is a wasteful number, since it uses less digits than its factorization.

4457052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4457052864 is about 66761.1628418799. The cubic root of 4457052864 is about 1645.6946668048.

The spelling of 4457052864 in words is "four billion, four hundred fifty-seven million, fifty-two thousand, eight hundred sixty-four".