412036560 has 120 divisors (see below), whose sum is σ = 1490232744. Its totient is φ = 101422080.

The previous prime is 412036543. The next prime is 412036567. The reversal of 412036560 is 65630214.

412036560 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 3 + 656 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 409333824 = 1644^2 + 20232^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412036567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12651 + ... + 31370.

Almost surely, 2^412036560 is an apocalyptic number.

412036560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412036560 is an abundant number, since it is smaller than the sum of its proper divisors (1078196184).

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

412036560 is a wasteful number, since it uses less digits than its factorization.

412036560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44053 (or 44044 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 412036560 is about 20298.6837011664. The cubic root of 412036560 is about 744.1238954267.

Adding to 412036560 its reverse (65630214), we get a palindrome (477666774).

The spelling of 412036560 in words is "four hundred twelve million, thirty-six thousand, five hundred sixty".