406387320 has 64 divisors (see below), whose sum is σ = 1231765920. Its totient is φ = 107249664.

The previous prime is 406387313. The next prime is 406387321. The reversal of 406387320 is 23783604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406387321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5817 + ... + 29096.

Almost surely, 2^406387320 is an apocalyptic number.

406387320 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 406387320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615882960).

406387320 is an abundant number, since it is smaller than the sum of its proper divisors (825378600).

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

406387320 is a wasteful number, since it uses less digits than its factorization.

406387320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35024 (or 35020 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 406387320 is about 20159.0505728817. The cubic root of 406387320 is about 740.7074558982.

The spelling of 406387320 in words is "four hundred six million, three hundred eighty-seven thousand, three hundred twenty".