405303741 has 12 divisors (see below), whose sum is σ = 585639132. Its totient is φ = 270110016.

The previous prime is 405303727. The next prime is 405303751. The reversal of 405303741 is 147303504.

It can be written as a sum of positive squares in 2 ways, for example, as 288014841 + 117288900 = 16971^2 + 10830^2 .

It is not a de Polignac number, because 405303741 - 2¹⁰ = 405302717 is a prime.

It is a super-2 number, since 2×405303741² = 328542244937190162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405303721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29505 + ... + 41001.

It is an arithmetic number, because the mean of its divisors is an integer number (48803261).

Almost surely, 2^405303741 is an apocalyptic number.

It is an amenable number.

405303741 is a deficient number, since it is larger than the sum of its proper divisors (180335391).

405303741 is a wasteful number, since it uses less digits than its factorization.

405303741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15420 (or 15417 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 405303741 is about 20132.1568889178. The cubic root of 405303741 is about 740.0485365048.

The spelling of 405303741 in words is "four hundred five million, three hundred three thousand, seven hundred forty-one".