405649160 has 64 divisors (see below), whose sum is σ = 1088467200. Its totient is φ = 133030656.

The previous prime is 405649159. The next prime is 405649163. The reversal of 405649160 is 61946504.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 405649160.

It is not an unprimeable number, because it can be changed into a prime (405649163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25055 + ... + 37934.

It is an arithmetic number, because the mean of its divisors is an integer number (17007300).

Almost surely, 2^405649160 is an apocalyptic number.

405649160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405649160 is an abundant number, since it is smaller than the sum of its proper divisors (682818040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405649160 is a wasteful number, since it uses less digits than its factorization.

405649160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63030 (or 63026 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 405649160 is about 20140.7338495895. The cubic root of 405649160 is about 740.2587115865.

The spelling of 405649160 in words is "four hundred five million, six hundred forty-nine thousand, one hundred sixty".