7484256 has 72 divisors (see below), whose sum is σ = 22932000. Its totient is φ = 2301696.

The previous prime is 7484251. The next prime is 7484261. The reversal of 7484256 is 6524847.

It is an interprime number because it is at equal distance from previous prime (7484251) and next prime (7484261).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7484256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7484251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2745 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (318500).

Almost surely, 2^7484256 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 7484256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466000).

7484256 is an abundant number, since it is smaller than the sum of its proper divisors (15447744).

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

7484256 is a wasteful number, since it uses less digits than its factorization.

7484256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2017 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7484256 is about 2735.7368294483. The cubic root of 7484256 is about 195.6063179361.

The spelling of 7484256 in words is "seven million, four hundred eighty-four thousand, two hundred fifty-six".