414973 has 8 divisors (see below), whose sum is σ = 452088. Its totient is φ = 378624.

The previous prime is 414971. The next prime is 414977. The reversal of 414973 is 379414.

414973 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 2809 + 412164 = 53^2 + 642^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414973 - 2¹ = 414971 is a prime.

It is a plaindrome in base 7.

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 7 ways as a sum of consecutive naturals, for example, 1665 + ... + 1897.

It is an arithmetic number, because the mean of its divisors is an integer number (56511).

2⁴¹⁴⁹⁷³ is an apocalyptic number.

It is an amenable number.

414973 is a deficient number, since it is larger than the sum of its proper divisors (37115).

414973 is a wasteful number, since it uses less digits than its factorization.

414973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its digits is 3024, while the sum is 28.

The square root of 414973 is about 644.1839799312. The cubic root of 414973 is about 74.5887416016.

The spelling of 414973 in words is "four hundred fourteen thousand, nine hundred seventy-three".