7428480 has 128 divisors (see below), whose sum is σ = 24455520. Its totient is φ = 1916928.

The previous prime is 7428469. The next prime is 7428521. The reversal of 7428480 is 848247.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7428480² = 110364630220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101724 + ... + 101796.

Almost surely, 2^7428480 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 7428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227760).

7428480 is an abundant number, since it is smaller than the sum of its proper divisors (17027040).

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

7428480 is a wasteful number, since it uses less digits than its factorization.

7428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 7428480 is about 2725.5238028680. The cubic root of 7428480 is about 195.1191907740.

The spelling of 7428480 in words is "seven million, four hundred twenty-eight thousand, four hundred eighty".