414251561 has 12 divisors (see below), whose sum is σ = 425408388. Its totient is φ = 403377312.

The previous prime is 414251507. The next prime is 414251569. The reversal of 414251561 is 165152414.

It can be written as a sum of positive squares in 2 ways, for example, as 278389225 + 135862336 = 16685^2 + 11656^2 .

It is not a de Polignac number, because 414251561 - 2¹⁸ = 413989417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414251569) 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, 611555 + ... + 612231.

It is an arithmetic number, because the mean of its divisors is an integer number (35450699).

Almost surely, 2^414251561 is an apocalyptic number.

It is an amenable number.

414251561 is a deficient number, since it is larger than the sum of its proper divisors (11156827).

414251561 is an equidigital number, since it uses as much as digits as its factorization.

414251561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1001 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 414251561 is about 20353.1707849170. The cubic root of 414251561 is about 745.4549184696.

The spelling of 414251561 in words is "four hundred fourteen million, two hundred fifty-one thousand, five hundred sixty-one".