405241600 has 108 divisors (see below), whose sum is σ = 1047026736. Its totient is φ = 154992640.

The previous prime is 405241553. The next prime is 405241609. The reversal of 405241600 is 6142504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405241609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 145824 + ... + 148576.

It is an arithmetic number, because the mean of its divisors is an integer number (9694692).

Almost surely, 2^405241600 is an apocalyptic number.

405241600 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 405241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523513368).

405241600 is an abundant number, since it is smaller than the sum of its proper divisors (641785136).

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

405241600 is a wasteful number, since it uses less digits than its factorization.

405241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 405241600 is about 20130.6135028220. The cubic root of 405241600 is about 740.0107132610.

It can be divided in two parts, 40524 and 1600, that added together give a palindrome (42124).

The spelling of 405241600 in words is "four hundred five million, two hundred forty-one thousand, six hundred".