408400380 has 96 divisors (see below), whose sum is σ = 1286402880. Its totient is φ = 108895104.

The previous prime is 408400357. The next prime is 408400381. The reversal of 408400380 is 83004804.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408400381) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39072 + ... + 48408.

It is an arithmetic number, because the mean of its divisors is an integer number (13400030).

Almost surely, 2^408400380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408400380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643201440).

408400380 is an abundant number, since it is smaller than the sum of its proper divisors (878002500).

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

408400380 is an equidigital number, since it uses as much as digits as its factorization.

408400380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9367 (or 9347 counting only the distinct ones).

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

The square root of 408400380 is about 20208.9183283025. The cubic root of 408400380 is about 741.9284858291.

The spelling of 408400380 in words is "four hundred eight million, four hundred thousand, three hundred eighty".