406578120 has 128 divisors (see below), whose sum is σ = 1390919040. Its totient is φ = 94187520.

The previous prime is 406578079. The next prime is 406578127. The reversal of 406578120 is 21875604.

It is not an unprimeable number, because it can be changed into a prime (406578127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18855 + ... + 34185.

It is an arithmetic number, because the mean of its divisors is an integer number (10866555).

Almost surely, 2^406578120 is an apocalyptic number.

406578120 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 406578120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695459520).

406578120 is an abundant number, since it is smaller than the sum of its proper divisors (984340920).

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

406578120 is a wasteful number, since it uses less digits than its factorization.

406578120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15375 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 406578120 is about 20163.7823832732. The cubic root of 406578120 is about 740.8233591786.

The spelling of 406578120 in words is "four hundred six million, five hundred seventy-eight thousand, one hundred twenty".