405735564 has 96 divisors (see below), whose sum is σ = 1072963584. Its totient is φ = 118460160.

The previous prime is 405735563. The next prime is 405735587. The reversal of 405735564 is 465537504.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (405735563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255517 + ... + 257099.

It is an arithmetic number, because the mean of its divisors is an integer number (11176704).

Almost surely, 2^405735564 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 405735564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536481792).

405735564 is an abundant number, since it is smaller than the sum of its proper divisors (667228020).

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

405735564 is a wasteful number, since it uses less digits than its factorization.

405735564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 405735564 is about 20142.8787416298. The cubic root of 405735564 is about 740.3112666672.

It can be divided in two parts, 4057 and 35564, that added together give a triangular number (39621 = T₂₈₁).

The spelling of 405735564 in words is "four hundred five million, seven hundred thirty-five thousand, five hundred sixty-four".