405271064 has 64 divisors (see below), whose sum is σ = 896313600. Its totient is φ = 169776000.

The previous prime is 405271049. The next prime is 405271079. The reversal of 405271064 is 460172504.

It is an interprime number because it is at equal distance from previous prime (405271049) and next prime (405271079).

It is a congruent number.

It is an unprimeable number.

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, 58589 + ... + 65139.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^405271064 is an apocalyptic number.

405271064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405271064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448156800).

405271064 is an abundant number, since it is smaller than the sum of its proper divisors (491042536).

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

405271064 is a wasteful number, since it uses less digits than its factorization.

405271064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 405271064 is about 20131.3453102370. The cubic root of 405271064 is about 740.0286475396.

The spelling of 405271064 in words is "four hundred five million, two hundred seventy-one thousand, sixty-four".