405563400 has 144 divisors (see below), whose sum is σ = 1485909360. Its totient is φ = 98313600.

The previous prime is 405563387. The next prime is 405563413. The reversal of 405563400 is 4365504.

It is an interprime number because it is at equal distance from previous prime (405563387) and next prime (405563413).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9559 + ... + 30041.

It is an arithmetic number, because the mean of its divisors is an integer number (10318815).

Almost surely, 2^405563400 is an apocalyptic number.

405563400 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 405563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742954680).

405563400 is an abundant number, since it is smaller than the sum of its proper divisors (1080345960).

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

405563400 is a wasteful number, since it uses less digits than its factorization.

405563400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20516 (or 20504 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 405563400 is about 20138.6047183016. The cubic root of 405563400 is about 740.2065408376.

It can be divided in two parts, 40556 and 3400, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 405563400 in words is "four hundred five million, five hundred sixty-three thousand, four hundred".