409563360 has 144 divisors (see below), whose sum is σ = 1435595616. Its totient is φ = 106251264.

The previous prime is 409563359. The next prime is 409563367. The reversal of 409563360 is 63365904.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409563367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49437 + ... + 57123.

It is an arithmetic number, because the mean of its divisors is an integer number (9969414).

Almost surely, 2^409563360 is an apocalyptic number.

409563360 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 409563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717797808).

409563360 is an abundant number, since it is smaller than the sum of its proper divisors (1026032256).

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

409563360 is a wasteful number, since it uses less digits than its factorization.

409563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 409563360 is about 20237.6718028532. The cubic root of 409563360 is about 742.6320684710.

The spelling of 409563360 in words is "four hundred nine million, five hundred sixty-three thousand, three hundred sixty".