409144560 has 240 divisors, whose sum is σ = 1420554912. Its totient is φ = 97320960.

The previous prime is 409144553. The next prime is 409144583. The reversal of 409144560 is 65441904.

409144560 = T₃₅ + T₃₆ + ... + T₁₃₄₈.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2119824 + ... + 2120016.

Almost surely, 2^409144560 is an apocalyptic number.

409144560 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 409144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710277456).

409144560 is an abundant number, since it is smaller than the sum of its proper divisors (1011410352).

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

409144560 is a wasteful number, since it uses less digits than its factorization.

409144560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 409144560 is about 20227.3221163851. The cubic root of 409144560 is about 742.3788554069.

The spelling of 409144560 in words is "four hundred nine million, one hundred forty-four thousand, five hundred sixty".