414981 has 18 divisors (see below), whose sum is σ = 698022. Its totient is φ = 236880.

The previous prime is 414977. The next prime is 414991. The reversal of 414981 is 189414.

It can be written as a sum of positive squares in only one way, i.e., 370881 + 44100 = 609^2 + 210^2 .

It is not a de Polignac number, because 414981 - 2² = 414977 is a prime.

It is a super-2 number, since 2×414981² = 344418460722, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

414981 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (38779).

2⁴¹⁴⁹⁸¹ is an apocalyptic number.

It is an amenable number.

414981 is a deficient number, since it is larger than the sum of its proper divisors (283041).

414981 is a wasteful number, since it uses less digits than its factorization.

414981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 951 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 414981 is about 644.1901893075. The cubic root of 414981 is about 74.5892209148.

The spelling of 414981 in words is "four hundred fourteen thousand, nine hundred eighty-one".