7408404480 has 192 divisors, whose sum is σ = 23803416000. Its totient is φ = 1967063040.

The previous prime is 7408404473. The next prime is 7408404491. The reversal of 7408404480 is 844048047.

It is a tau number, because it is divible by the number of its divisors (192).

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, 10720935 + ... + 10721625.

It is an arithmetic number, because the mean of its divisors is an integer number (123976125).

Almost surely, 2^7408404480 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 7408404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901708000).

7408404480 is an abundant number, since it is smaller than the sum of its proper divisors (16395011520).

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

7408404480 is a wasteful number, since it uses less digits than its factorization.

7408404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 7408404480 is about 86072.0888557958. The cubic root of 7408404480 is about 1949.4326186229.

The spelling of 7408404480 in words is "seven billion, four hundred eight million, four hundred four thousand, four hundred eighty".