412407561 has 16 divisors (see below), whose sum is σ = 564016320. Its totient is φ = 267886080.

The previous prime is 412407557. The next prime is 412407599. The reversal of 412407561 is 165704214.

It is not a de Polignac number, because 412407561 - 2² = 412407557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (412407511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122446 + ... + 125768.

It is an arithmetic number, because the mean of its divisors is an integer number (35251020).

Almost surely, 2^412407561 is an apocalyptic number.

412407561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

412407561 is a deficient number, since it is larger than the sum of its proper divisors (151608759).

412407561 is a wasteful number, since it uses less digits than its factorization.

412407561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 412407561 is about 20307.8201932162. The cubic root of 412407561 is about 744.3471667888.

The spelling of 412407561 in words is "four hundred twelve million, four hundred seven thousand, five hundred sixty-one".