4200464160 has 144 divisors (see below), whose sum is σ = 14420742336. Its totient is φ = 1113352704.

The previous prime is 4200464131. The next prime is 4200464189. The reversal of 4200464160 is 614640024.

4200464160 is a `hidden beast` number, since 4 + 200 + 46 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4200464131) and next prime (4200464189).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231747 + ... + 249213.

It is an arithmetic number, because the mean of its divisors is an integer number (100144044).

Almost surely, 2^4200464160 is an apocalyptic number.

4200464160 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 4200464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210371168).

4200464160 is an abundant number, since it is smaller than the sum of its proper divisors (10220278176).

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

4200464160 is a wasteful number, since it uses less digits than its factorization.

4200464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17655 (or 17644 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4200464160 is about 64810.9879572901. The cubic root of 4200464160 is about 1613.4880794733.

The spelling of 4200464160 in words is "four billion, two hundred million, four hundred sixty-four thousand, one hundred sixty".