7256480 has 192 divisors, whose sum is σ = 23224320. Its totient is φ = 2073600.

The previous prime is 7256401. The next prime is 7256497. The reversal of 7256480 is 846527.

7256480 is digitally balanced in base 5, 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234065 + ... + 234095.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^7256480 is an apocalyptic number.

7256480 is a gapful number since it is divisible by the number (70) 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 7256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

7256480 is an abundant number, since it is smaller than the sum of its proper divisors (15967840).

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

7256480 is a wasteful number, since it uses less digits than its factorization.

7256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 7256480 is about 2693.7854406021. The cubic root of 7256480 is about 193.6014775745.

The spelling of 7256480 in words is "seven million, two hundred fifty-six thousand, four hundred eighty".