409375360 has 64 divisors (see below), whose sum is σ = 993373920. Its totient is φ = 161289216.

The previous prime is 409375319. The next prime is 409375361. The reversal of 409375360 is 63573904.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (409375361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38107 + ... + 47653.

Almost surely, 2^409375360 is an apocalyptic number.

409375360 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 409375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496686960).

409375360 is an abundant number, since it is smaller than the sum of its proper divisors (583998560).

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

409375360 is an equidigital number, since it uses as much as digits as its factorization.

409375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 409375360 is about 20233.0264666461. The cubic root of 409375360 is about 742.5184220773.

It can be divided in two parts, 409 and 375360, that added together give a square (375769 = 613²).

The spelling of 409375360 in words is "four hundred nine million, three hundred seventy-five thousand, three hundred sixty".