405726660 has 144 divisors (see below), whose sum is σ = 1273708800. Its totient is φ = 104482560.

The previous prime is 405726649. The next prime is 405726661. The reversal of 405726660 is 66627504.

It is a super-2 number, since 2×405726660² = 329228245269511200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (405726661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677041 + ... + 677639.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^405726660 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 405726660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

405726660 is an abundant number, since it is smaller than the sum of its proper divisors (867982140).

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

405726660 is a wasteful number, since it uses less digits than its factorization.

405726660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 405726660 is about 20142.6577193775. The cubic root of 405726660 is about 740.3058511697.

The spelling of 405726660 in words is "four hundred five million, seven hundred twenty-six thousand, six hundred sixty".