4257746220 has 288 divisors, whose sum is σ = 15815798208. Its totient is φ = 845365248.

The previous prime is 4257746209. The next prime is 4257746279. The reversal of 4257746220 is 226477524.

It is a happy number.

4257746220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 646464 + ... + 653016.

It is an arithmetic number, because the mean of its divisors is an integer number (54915966).

Almost surely, 2^4257746220 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 4257746220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907899104).

4257746220 is an abundant number, since it is smaller than the sum of its proper divisors (11558051988).

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

4257746220 is a wasteful number, since it uses less digits than its factorization.

4257746220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 4257746220 is about 65251.4078009050. The cubic root of 4257746220 is about 1620.7894110277.

The spelling of 4257746220 in words is "four billion, two hundred fifty-seven million, seven hundred forty-six thousand, two hundred twenty".