413561360 has 40 divisors (see below), whose sum is σ = 963360216. Its totient is φ = 165109760.

The previous prime is 413561347. The next prime is 413561411. The reversal of 413561360 is 63165314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37356544 + 376204816 = 6112^2 + 19396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39920 + ... + 49200.

Almost surely, 2^413561360 is an apocalyptic number.

413561360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413561360 is an abundant number, since it is smaller than the sum of its proper divisors (549798856).

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

413561360 is a wasteful number, since it uses less digits than its factorization.

413561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 413561360 is about 20336.2081027905. The cubic root of 413561360 is about 745.0406776282.

The spelling of 413561360 in words is "four hundred thirteen million, five hundred sixty-one thousand, three hundred sixty".