2405413287 has 16 divisors (see below), whose sum is σ = 3678530560. Its totient is φ = 1551879000.

The previous prime is 2405413271. The next prime is 2405413313. The reversal of 2405413287 is 7823145042.

It is a happy number.

2405413287 is a `hidden beast` number, since 2 + 4 + 0 + 541 + 32 + 87 = 666.

It is not a de Polignac number, because 2405413287 - 2⁴ = 2405413271 is a prime.

It is a super-3 number, since 3×2405413287³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405413267) 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, 1436089 + ... + 1437762.

It is an arithmetic number, because the mean of its divisors is an integer number (229908160).

Almost surely, 2^2405413287 is an apocalyptic number.

2405413287 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2405413287 is a deficient number, since it is larger than the sum of its proper divisors (1273117273).

2405413287 is a wasteful number, since it uses less digits than its factorization.

2405413287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873891 (or 2873885 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2405413287 is about 49045.0128657339. The cubic root of 2405413287 is about 1339.8717644791.

The spelling of 2405413287 in words is "two billion, four hundred five million, four hundred thirteen thousand, two hundred eighty-seven".