413475360 has 96 divisors (see below), whose sum is σ = 1379089152. Its totient is φ = 103772160.

The previous prime is 413475341. The next prime is 413475367. The reversal of 413475360 is 63574314.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (413475367) 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, 17176 + ... + 33495.

It is an arithmetic number, because the mean of its divisors is an integer number (14365512).

Almost surely, 2^413475360 is an apocalyptic number.

413475360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413475360 is an abundant number, since it is smaller than the sum of its proper divisors (965613792).

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

413475360 is a wasteful number, since it uses less digits than its factorization.

413475360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50706 (or 50698 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 413475360 is about 20334.0935377016. The cubic root of 413475360 is about 744.9890303626.

The spelling of 413475360 in words is "four hundred thirteen million, four hundred seventy-five thousand, three hundred sixty".