406144800 has 144 divisors (see below), whose sum is σ = 1468968480. Its totient is φ = 108299520.

The previous prime is 406144789. The next prime is 406144829. The reversal of 406144800 is 8441604.

406144800 is a `hidden beast` number, since 4 + 0 + 614 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12199 + ... + 31001.

It is an arithmetic number, because the mean of its divisors is an integer number (10201170).

Almost surely, 2^406144800 is an apocalyptic number.

406144800 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 406144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734484240).

406144800 is an abundant number, since it is smaller than the sum of its proper divisors (1062823680).

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

406144800 is a wasteful number, since it uses less digits than its factorization.

406144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18832 (or 18813 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 406144800 is about 20153.0345109614. The cubic root of 406144800 is about 740.5600824369.

The spelling of 406144800 in words is "four hundred six million, one hundred forty-four thousand, eight hundred".