7344480 has 192 divisors, whose sum is σ = 27433728. Its totient is φ = 1628160.

The previous prime is 7344451. The next prime is 7344481. The reversal of 7344480 is 844437.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 7³ + 3² + 4⁶ + 4¹⁰ + 4¹¹ + 8⁷ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7344481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68587 + ... + 68693.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 2^7344480 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 7344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

7344480 is an abundant number, since it is smaller than the sum of its proper divisors (20089248).

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

7344480 is a wasteful number, since it uses less digits than its factorization.

7344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 7344480 is about 2710.0701097942. The cubic root of 7344480 is about 194.3809427711.

The spelling of 7344480 in words is "seven million, three hundred forty-four thousand, four hundred eighty".