409477680 has 200 divisors, whose sum is σ = 1471892400. Its totient is φ = 105380352.

The previous prime is 409477639. The next prime is 409477687. The reversal of 409477680 is 86774904.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409477687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186831 + ... + 189009.

It is an arithmetic number, because the mean of its divisors is an integer number (7359462).

Almost surely, 2^409477680 is an apocalyptic number.

409477680 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 409477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735946200).

409477680 is an abundant number, since it is smaller than the sum of its proper divisors (1062414720).

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

409477680 is a wasteful number, since it uses less digits than its factorization.

409477680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 409477680 is about 20235.5548478415. The cubic root of 409477680 is about 742.5802790457.

The spelling of 409477680 in words is "four hundred nine million, four hundred seventy-seven thousand, six hundred eighty".