406736220 has 96 divisors (see below), whose sum is σ = 1315512576. Its totient is φ = 92800000.

The previous prime is 406736207. The next prime is 406736221. The reversal of 406736220 is 22637604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406736221) 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, 6906 + ... + 29345.

It is an arithmetic number, because the mean of its divisors is an integer number (13703256).

Almost surely, 2^406736220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406736220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657756288).

406736220 is an abundant number, since it is smaller than the sum of its proper divisors (908776356).

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

406736220 is a wasteful number, since it uses less digits than its factorization.

406736220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36291 (or 36289 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 406736220 is about 20167.7023976456. The cubic root of 406736220 is about 740.9193710635.

The spelling of 406736220 in words is "four hundred six million, seven hundred thirty-six thousand, two hundred twenty".