4801462272 has 256 divisors, whose sum is σ = 14616926400. Its totient is φ = 1576599552.

The previous prime is 4801462247. The next prime is 4801462273. The reversal of 4801462272 is 2722641084.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (4801462273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71663583 + ... + 71663649.

Almost surely, 2^4801462272 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 4801462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308463200).

4801462272 is an abundant number, since it is smaller than the sum of its proper divisors (9815464128).

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

4801462272 is an frugal number, since it uses more digits than its factorization.

4801462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4801462272 is about 69292.5845383184. The cubic root of 4801462272 is about 1687.0366087634.

The spelling of 4801462272 in words is "four billion, eight hundred one million, four hundred sixty-two thousand, two hundred seventy-two".