409347360 has 72 divisors (see below), whose sum is σ = 1396902780. Its totient is φ = 109158912.

The previous prime is 409347349. The next prime is 409347361. The reversal of 409347360 is 63743904.

409347360 is a `hidden beast` number, since 40 + 93 + 473 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 407878416 + 1468944 = 20196^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×409347360² = 335130522277939200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (409347361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140695 + ... + 143574.

Almost surely, 2^409347360 is an apocalyptic number.

409347360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409347360 is an abundant number, since it is smaller than the sum of its proper divisors (987555420).

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

409347360 is a wasteful number, since it uses less digits than its factorization.

409347360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284290 (or 284279 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 409347360 is about 20232.3345168075. The cubic root of 409347360 is about 742.5014930419.

The spelling of 409347360 in words is "four hundred nine million, three hundred forty-seven thousand, three hundred sixty".