7396480 has 128 divisors (see below), whose sum is σ = 21934080. Its totient is φ = 2322432.

The previous prime is 7396469. The next prime is 7396481. The reversal of 7396480 is 846937.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (7396481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58177 + ... + 58303.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 2^7396480 is an apocalyptic number.

7396480 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 7396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967040).

7396480 is an abundant number, since it is smaller than the sum of its proper divisors (14537600).

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

7396480 is a wasteful number, since it uses less digits than its factorization.

7396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 7396480 is about 2719.6470359221. The cubic root of 7396480 is about 194.8386129074.

The spelling of 7396480 in words is "seven million, three hundred ninety-six thousand, four hundred eighty".