406057120 has 144 divisors (see below), whose sum is σ = 1126597248. Its totient is φ = 138297600.

The previous prime is 406057117. The next prime is 406057181. The reversal of 406057120 is 21750604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689045 + ... + 2689195.

It is an arithmetic number, because the mean of its divisors is an integer number (7823592).

Almost surely, 2^406057120 is an apocalyptic number.

406057120 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 406057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563298624).

406057120 is an abundant number, since it is smaller than the sum of its proper divisors (720540128).

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

406057120 is an frugal number, since it uses more digits than its factorization.

406057120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 406057120 is about 20150.8590387606. The cubic root of 406057120 is about 740.5067870102.

The spelling of 406057120 in words is "four hundred six million, fifty-seven thousand, one hundred twenty".