405286064 has 40 divisors (see below), whose sum is σ = 819768960. Its totient is φ = 193881600.

The previous prime is 405286061. The next prime is 405286073. The reversal of 405286064 is 460682504.

It is a super-2 number, since 2×405286064² = 328513587345224192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405286061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39554 + ... + 48734.

It is an arithmetic number, because the mean of its divisors is an integer number (20494224).

Almost surely, 2^405286064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405286064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409884480).

405286064 is an abundant number, since it is smaller than the sum of its proper divisors (414482896).

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

405286064 is a wasteful number, since it uses less digits than its factorization.

405286064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9309 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 405286064 is about 20131.7178601330. The cubic root of 405286064 is about 740.0377774724.

The spelling of 405286064 in words is "four hundred five million, two hundred eighty-six thousand, sixty-four".