405602560 has 72 divisors (see below), whose sum is σ = 1059903936. Its totient is φ = 147486720.

The previous prime is 405602501. The next prime is 405602569. The reversal of 405602560 is 65206504.

It is not an unprimeable number, because it can be changed into a prime (405602569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324 + ... + 28483.

It is an arithmetic number, because the mean of its divisors is an integer number (14720888).

Almost surely, 2^405602560 is an apocalyptic number.

405602560 is a gapful number since it is divisible by the number (40) 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 405602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529951968).

405602560 is an abundant number, since it is smaller than the sum of its proper divisors (654301376).

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

405602560 is a wasteful number, since it uses less digits than its factorization.

405602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28839 (or 28825 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 405602560 is about 20139.5769568281. The cubic root of 405602560 is about 740.2303641208.

The spelling of 405602560 in words is "four hundred five million, six hundred two thousand, five hundred sixty".