405666400 has 72 divisors (see below), whose sum is σ = 1011497760. Its totient is φ = 158799360.

The previous prime is 405666367. The next prime is 405666407. The reversal of 405666400 is 4666504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405666407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32206 + ... + 42994.

It is an arithmetic number, because the mean of its divisors is an integer number (14048580).

Almost surely, 2^405666400 is an apocalyptic number.

405666400 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 405666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505748880).

405666400 is an abundant number, since it is smaller than the sum of its proper divisors (605831360).

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

405666400 is a wasteful number, since it uses less digits than its factorization.

405666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10856 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 405666400 is about 20141.1618334196. The cubic root of 405666400 is about 740.2691983821.

The spelling of 405666400 in words is "four hundred five million, six hundred sixty-six thousand, four hundred".