2456032 has 48 divisors (see below), whose sum is σ = 5225472. Its totient is φ = 1133440.

The previous prime is 2456029. The next prime is 2456033. The reversal of 2456032 is 2306542.

It is a happy number.

2456032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2⁹ + 4³ + 5⁷ + 6⁷ + 0 + 3⁵ + 2²¹ .

It is a junction number, because it is equal to n+sod(n) for n = 2455994 and 2456012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456033) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34557 + ... + 34627.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

2^2456032 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 2456032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736).

2456032 is an abundant number, since it is smaller than the sum of its proper divisors (2769440).

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

2456032 is a wasteful number, since it uses less digits than its factorization.

2456032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2456032 is about 1567.1732514307. The cubic root of 2456032 is about 134.9205202030.

The spelling of 2456032 in words is "two million, four hundred fifty-six thousand, thirty-two".