4257242920 has 192 divisors, whose sum is σ = 11513923200. Its totient is φ = 1387545600.

The previous prime is 4257242911. The next prime is 4257242921. The reversal of 4257242920 is 292427524.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4257242920.

It is not an unprimeable number, because it can be changed into a prime (4257242921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23783391 + ... + 23783569.

It is an arithmetic number, because the mean of its divisors is an integer number (59968350).

Almost surely, 2^4257242920 is an apocalyptic number.

4257242920 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 4257242920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756961600).

4257242920 is an abundant number, since it is smaller than the sum of its proper divisors (7256680280).

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

4257242920 is a wasteful number, since it uses less digits than its factorization.

4257242920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 4257242920 is about 65247.5510651549. The cubic root of 4257242920 is about 1620.7255450437.

The spelling of 4257242920 in words is "four billion, two hundred fifty-seven million, two hundred forty-two thousand, nine hundred twenty".