7240480 has 72 divisors (see below), whose sum is σ = 18738972. Its totient is φ = 2628096.

The previous prime is 7240447. The next prime is 7240481. The reversal of 7240480 is 840427.

It can be written as a sum of positive squares in 2 ways, for example, as 6739216 + 501264 = 2596^2 + 708^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7240481) 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, 122691 + ... + 122749.

Almost surely, 2^7240480 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 7240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369486).

7240480 is an abundant number, since it is smaller than the sum of its proper divisors (11498492).

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

7240480 is a wasteful number, since it uses less digits than its factorization.

7240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 7240480 is about 2690.8140032340. The cubic root of 7240480 is about 193.4590805670.

The spelling of 7240480 in words is "seven million, two hundred forty thousand, four hundred eighty".