405664200 has 288 divisors, whose sum is σ = 1498966560. Its totient is φ = 101606400.

The previous prime is 405664187. The next prime is 405664201. The reversal of 405664200 is 2466504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (405664201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 825955 + ... + 826445.

It is an arithmetic number, because the mean of its divisors is an integer number (5204745).

Almost surely, 2^405664200 is an apocalyptic number.

405664200 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 405664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749483280).

405664200 is an abundant number, since it is smaller than the sum of its proper divisors (1093302360).

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

405664200 is a wasteful number, since it uses less digits than its factorization.

405664200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 405664200 is about 20141.1072188199. The cubic root of 405664200 is about 740.2678601764.

The spelling of 405664200 in words is "four hundred five million, six hundred sixty-four thousand, two hundred".