409986720 has 432 divisors, whose sum is σ = 1665275976. Its totient is φ = 91238400.

The previous prime is 409986697. The next prime is 409986721. The reversal of 409986720 is 27689904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 120033936 + 289952784 = 10956^2 + 17028^2 .

It is a super-2 number, since 2×409986720² = 336178221152716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (409986721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265030 + ... + 2265210.

Almost surely, 2^409986720 is an apocalyptic number.

409986720 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 409986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832637988).

409986720 is an abundant number, since it is smaller than the sum of its proper divisors (1255289256).

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

409986720 is a wasteful number, since it uses less digits than its factorization.

409986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 409986720 is about 20248.1288024351. The cubic root of 409986720 is about 742.8878631984.

The spelling of 409986720 in words is "four hundred nine million, nine hundred eighty-six thousand, seven hundred twenty".