409725360 has 180 divisors, whose sum is σ = 1512778176. Its totient is φ = 99306240.

The previous prime is 409725343. The next prime is 409725389. The reversal of 409725360 is 63527904.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84769 + ... + 89471.

Almost surely, 2^409725360 is an apocalyptic number.

409725360 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 409725360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756389088).

409725360 is an abundant number, since it is smaller than the sum of its proper divisors (1103052816).

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

409725360 is a wasteful number, since it uses less digits than its factorization.

409725360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 409725360 is about 20241.6738438302. The cubic root of 409725360 is about 742.7299699178.

The spelling of 409725360 in words is "four hundred nine million, seven hundred twenty-five thousand, three hundred sixty".