4057454592 has 288 divisors, whose sum is σ = 12592419840. Its totient is φ = 1303879680.

The previous prime is 4057454573. The next prime is 4057454647. The reversal of 4057454592 is 2954547504.

4057454592 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 4 + 54 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4057454592² = 32925875532283772928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15427453 + ... + 15427715.

It is an arithmetic number, because the mean of its divisors is an integer number (43723680).

Almost surely, 2^4057454592 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 4057454592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296209920).

4057454592 is an abundant number, since it is smaller than the sum of its proper divisors (8534965248).

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

4057454592 is an equidigital number, since it uses as much as digits as its factorization.

4057454592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 4057454592 is about 63698.1521867000. The cubic root of 4057454592 is about 1594.9652402811.

The spelling of 4057454592 in words is "four billion, fifty-seven million, four hundred fifty-four thousand, five hundred ninety-two".