409615360 has 176 divisors, whose sum is σ = 1226234880. Its totient is φ = 127549440.

The previous prime is 409615333. The next prime is 409615361. The reversal of 409615360 is 63516904.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409615361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393721 + ... + 394759.

Almost surely, 2^409615360 is an apocalyptic number.

409615360 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 409615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613117440).

409615360 is an abundant number, since it is smaller than the sum of its proper divisors (816619520).

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

409615360 is a wasteful number, since it uses less digits than its factorization.

409615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 409615360 is about 20238.9564948394. The cubic root of 409615360 is about 742.6634964397.

The spelling of 409615360 in words is "four hundred nine million, six hundred fifteen thousand, three hundred sixty".