4257972180 has 576 divisors, whose sum is σ = 16907304960. Its totient is φ = 841881600.

The previous prime is 4257972179. The next prime is 4257972209. The reversal of 4257972180 is 812797524.

It is a happy number.

4257972180 is a `hidden beast` number, since 4 + 2 + 579 + 72 + 1 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33527277 + ... + 33527403.

It is an arithmetic number, because the mean of its divisors is an integer number (29352960).

Almost surely, 2^4257972180 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 4257972180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453652480).

4257972180 is an abundant number, since it is smaller than the sum of its proper divisors (12649332780).

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

4257972180 is a wasteful number, since it uses less digits than its factorization.

4257972180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4257972180 is about 65253.1392348292. The cubic root of 4257972180 is about 1620.8180824638.

The spelling of 4257972180 in words is "four billion, two hundred fifty-seven million, nine hundred seventy-two thousand, one hundred eighty".