405949401 has 80 divisors (see below), whose sum is σ = 721562688. Its totient is φ = 224208000.

The previous prime is 405949391. The next prime is 405949451. The reversal of 405949401 is 104949504.

It is a happy number.

It is not a de Polignac number, because 405949401 - 2¹⁸ = 405687257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405949451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1169710 + ... + 1170056.

Almost surely, 2^405949401 is an apocalyptic number.

It is an amenable number.

405949401 is a deficient number, since it is larger than the sum of its proper divisors (315613287).

405949401 is a wasteful number, since it uses less digits than its factorization.

405949401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 405949401 is about 20148.1860473840. The cubic root of 405949401 is about 740.4413005707.

The spelling of 405949401 in words is "four hundred five million, nine hundred forty-nine thousand, four hundred one".