405556461 has 24 divisors (see below), whose sum is σ = 603655416. Its totient is φ = 262210560.

The previous prime is 405556453. The next prime is 405556469. The reversal of 405556461 is 164655504.

405556461 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 5 + 646 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (405556453) and next prime (405556469).

It can be written as a sum of positive squares in 4 ways, for example, as 42653961 + 362902500 = 6531^2 + 19050^2 .

It is not a de Polignac number, because 405556461 - 2³ = 405556453 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405556469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60661 + ... + 67013.

It is an arithmetic number, because the mean of its divisors is an integer number (25152309).

Almost surely, 2^405556461 is an apocalyptic number.

405556461 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

405556461 is a deficient number, since it is larger than the sum of its proper divisors (198098955).

405556461 is a wasteful number, since it uses less digits than its factorization.

405556461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 405556461 is about 20138.4324365130. The cubic root of 405556461 is about 740.2023192843.

It can be divided in two parts, 4055 and 56461, that added together give a square (60516 = 246²).

The spelling of 405556461 in words is "four hundred five million, five hundred fifty-six thousand, four hundred sixty-one".