405666800 has 120 divisors (see below), whose sum is σ = 1215196032. Its totient is φ = 126432000.

The previous prime is 405666799. The next prime is 405666827. The reversal of 405666800 is 8666504.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24215 + ... + 37385.

Almost surely, 2^405666800 is an apocalyptic number.

405666800 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 405666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607598016).

405666800 is an abundant number, since it is smaller than the sum of its proper divisors (809529232).

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

405666800 is a wasteful number, since it uses less digits than its factorization.

405666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207 (or 13196 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 405666800 is about 20141.1717633310. The cubic root of 405666800 is about 740.2694416917.

The spelling of 405666800 in words is "four hundred five million, six hundred sixty-six thousand, eight hundred".