4297056000 has 288 divisors, whose sum is σ = 15117979968. Its totient is φ = 1078067200.

The previous prime is 4297055977. The next prime is 4297056031. The reversal of 4297056000 is 6507924.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1630684 + ... + 1633316.

It is an arithmetic number, because the mean of its divisors is an integer number (52492986).

Almost surely, 2^4297056000 is an apocalyptic number.

4297056000 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 4297056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558989984).

4297056000 is an abundant number, since it is smaller than the sum of its proper divisors (10820923968).

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

4297056000 is a wasteful number, since it uses less digits than its factorization.

4297056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 4297056000 is about 65551.9336099249. The cubic root of 4297056000 is about 1625.7621355942.

The spelling of 4297056000 in words is "four billion, two hundred ninety-seven million, fifty-six thousand".