414252261 has 12 divisors (see below), whose sum is σ = 602933760. Its totient is φ = 274059240.

The previous prime is 414252257. The next prime is 414252263. The reversal of 414252261 is 162252414.

414252261 is a `hidden beast` number, since 41 + 42 + 522 + 61 = 666.

It is not a de Polignac number, because 414252261 - 2² = 414252257 is a prime.

It is a super-2 number, since 2×414252261² = 343209871487224242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414252263) 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, 174501 + ... + 176858.

It is an arithmetic number, because the mean of its divisors is an integer number (50244480).

Almost surely, 2^414252261 is an apocalyptic number.

It is an amenable number.

414252261 is a deficient number, since it is larger than the sum of its proper divisors (188681499).

414252261 is a wasteful number, since it uses less digits than its factorization.

414252261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351496 (or 351493 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 414252261 is about 20353.1879812476. The cubic root of 414252261 is about 745.4553383579.

The spelling of 414252261 in words is "four hundred fourteen million, two hundred fifty-two thousand, two hundred sixty-one".