406084320 has 384 divisors, whose sum is σ = 1529902080. Its totient is φ = 100362240.

The previous prime is 406084319. The next prime is 406084331. The reversal of 406084320 is 23480604.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6060927 + ... + 6060993.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^406084320 is an apocalyptic number.

406084320 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 406084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764951040).

406084320 is an abundant number, since it is smaller than the sum of its proper divisors (1123817760).

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

406084320 is a wasteful number, since it uses less digits than its factorization.

406084320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 406084320 is about 20151.5339366511. The cubic root of 406084320 is about 740.5233210838.

The spelling of 406084320 in words is "four hundred six million, eighty-four thousand, three hundred twenty".