7407405 has 24 divisors (see below), whose sum is σ = 12979512. Its totient is φ = 3907584.

The previous prime is 7407401. The next prime is 7407431. The reversal of 7407405 is 5047047.

It can be written as a sum of positive squares in 4 ways, for example, as 2304324 + 5103081 = 1518^2 + 2259^2 .

It is not a de Polignac number, because 7407405 - 2² = 7407401 is a prime.

It is a super-3 number, since 3×7407405³ (a number of 22 digits) contains 333 as substring.

7407405 is a lucky number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7407401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3517 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (540813).

Almost surely, 2^7407405 is an apocalyptic number.

It is an amenable number.

7407405 is a deficient number, since it is larger than the sum of its proper divisors (5572107).

7407405 is a wasteful number, since it uses less digits than its factorization.

7407405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 7407405 is about 2721.6548274901. The cubic root of 7407405 is about 194.9344947629.

The spelling of 7407405 in words is "seven million, four hundred seven thousand, four hundred five".