409409280 has 216 divisors, whose sum is σ = 1619191392. Its totient is φ = 93560832.

The previous prime is 409409279. The next prime is 409409291. The reversal of 409409280 is 82904904.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78102 + ... + 83178.

Almost surely, 2^409409280 is an apocalyptic number.

409409280 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 409409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809595696).

409409280 is an abundant number, since it is smaller than the sum of its proper divisors (1209782112).

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

409409280 is a wasteful number, since it uses less digits than its factorization.

409409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 409409280 is about 20233.8646827540. The cubic root of 409409280 is about 742.5389293605.

The spelling of 409409280 in words is "four hundred nine million, four hundred nine thousand, two hundred eighty".