2456272 has 60 divisors (see below), whose sum is σ = 5986596. Its totient is φ = 967680.

The previous prime is 2456261. The next prime is 2456303. The reversal of 2456272 is 2726542.

2456272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1073296 + 1382976 = 1036^2 + 1176^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2456272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10072 + ... + 10312.

2^2456272 is an apocalyptic number.

2456272 is the 784-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993298).

2456272 is an abundant number, since it is smaller than the sum of its proper divisors (3530324).

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

2456272 is a wasteful number, since it uses less digits than its factorization.

2456272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 2456272 is about 1567.2498205455. The cubic root of 2456272 is about 134.9249148079.

The spelling of 2456272 in words is "two million, four hundred fifty-six thousand, two hundred seventy-two".