406305120 has 384 divisors, whose sum is σ = 1524096000. Its totient is φ = 90021888.

The previous prime is 406305113. The next prime is 406305149. The reversal of 406305120 is 21503604.

It is a happy number.

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, 2726806 + ... + 2726954.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^406305120 is an apocalyptic number.

406305120 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 406305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048000).

406305120 is an abundant number, since it is smaller than the sum of its proper divisors (1117790880).

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

406305120 is a wasteful number, since it uses less digits than its factorization.

406305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 406305120 is about 20157.0116832828. The cubic root of 406305120 is about 740.6575115426.

Adding to 406305120 its reverse (21503604), we get a palindrome (427808724).

The spelling of 406305120 in words is "four hundred six million, three hundred five thousand, one hundred twenty".