7408940 has 96 divisors (see below), whose sum is σ = 20611584. Its totient is φ = 2165760.

The previous prime is 7408937. The next prime is 7408997. The reversal of 7408940 is 498047.

7408940 = T₁₆₁ + T₁₆₂ + ... + T₃₆₄.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7408897 and 7408906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26039 + ... + 26321.

It is an arithmetic number, because the mean of its divisors is an integer number (214704).

Almost surely, 2^7408940 is an apocalyptic number.

7408940 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 7408940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305792).

7408940 is an abundant number, since it is smaller than the sum of its proper divisors (13202644).

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

7408940 is a wasteful number, since it uses less digits than its factorization.

7408940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7408940 is about 2721.9368104348. The cubic root of 7408940 is about 194.9479589376.

The spelling of 7408940 in words is "seven million, four hundred eight thousand, nine hundred forty".