405202941 has 48 divisors (see below), whose sum is σ = 690318720. Its totient is φ = 225797760.

The previous prime is 405202879. The next prime is 405202943. The reversal of 405202941 is 149202504.

It is not a de Polignac number, because 405202941 - 2¹⁰ = 405201917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405202943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461595 + ... + 462471.

It is an arithmetic number, because the mean of its divisors is an integer number (14381640).

Almost surely, 2^405202941 is an apocalyptic number.

It is an amenable number.

405202941 is a deficient number, since it is larger than the sum of its proper divisors (285115779).

405202941 is a wasteful number, since it uses less digits than its factorization.

405202941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 405202941 is about 20129.6532757025. The cubic root of 405202941 is about 739.9871808103.

The spelling of 405202941 in words is "four hundred five million, two hundred two thousand, nine hundred forty-one".