4257983760 has 80 divisors (see below), whose sum is σ = 13217487360. Its totient is φ = 1133936640.

The previous prime is 4257983759. The next prime is 4257983773. The reversal of 4257983760 is 673897524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173025 + ... + 196095.

It is an arithmetic number, because the mean of its divisors is an integer number (165218592).

Almost surely, 2^4257983760 is an apocalyptic number.

4257983760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4257983760 is an abundant number, since it is smaller than the sum of its proper divisors (8959503600).

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

4257983760 is a wasteful number, since it uses less digits than its factorization.

4257983760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23856 (or 23850 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 4257983760 is about 65253.2279661321. The cubic root of 4257983760 is about 1620.8195517905.

The spelling of 4257983760 in words is "four billion, two hundred fifty-seven million, nine hundred eighty-three thousand, seven hundred sixty".