4270468272 has 320 divisors, whose sum is σ = 14220518400. Its totient is φ = 1077940224.

The previous prime is 4270468247. The next prime is 4270468273. The reversal of 4270468272 is 2728640724.

4270468272 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270468273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39178554 + ... + 39178662.

It is an arithmetic number, because the mean of its divisors is an integer number (44439120).

Almost surely, 2^4270468272 is an apocalyptic number.

4270468272 is a gapful number since it is divisible by the number (42) 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 4270468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110259200).

4270468272 is an abundant number, since it is smaller than the sum of its proper divisors (9950050128).

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

4270468272 is a wasteful number, since it uses less digits than its factorization.

4270468272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 4270468272 is about 65348.8199740439. The cubic root of 4270468272 is about 1622.4021002291.

The spelling of 4270468272 in words is "four billion, two hundred seventy million, four hundred sixty-eight thousand, two hundred seventy-two".