409457280 has 128 divisors (see below), whose sum is σ = 1313988480. Its totient is φ = 108449792.

The previous prime is 409457249. The next prime is 409457297. The reversal of 409457280 is 82754904.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320002 + ... + 321278.

It is an arithmetic number, because the mean of its divisors is an integer number (10265535).

Almost surely, 2^409457280 is an apocalyptic number.

409457280 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 409457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656994240).

409457280 is an abundant number, since it is smaller than the sum of its proper divisors (904531200).

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

409457280 is a wasteful number, since it uses less digits than its factorization.

409457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 409457280 is about 20235.0507782906. The cubic root of 409457280 is about 742.5679471653.

The spelling of 409457280 in words is "four hundred nine million, four hundred fifty-seven thousand, two hundred eighty".