414953 has 16 divisors (see below), whose sum is σ = 549504. Its totient is φ = 303360.

The previous prime is 414949. The next prime is 414959. The reversal of 414953 is 359414.

It is a cyclic number.

It is not a de Polignac number, because 414953 - 2² = 414949 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (34344).

2⁴¹⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

414953 is a deficient number, since it is larger than the sum of its proper divisors (134551).

414953 is a wasteful number, since it uses less digits than its factorization.

414953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352.

The product of its digits is 2160, while the sum is 26.

The square root of 414953 is about 644.1684562286. The cubic root of 414953 is about 74.5875432917.

It can be divided in two parts, 41 and 4953, that added together give a palindrome (4994).

The spelling of 414953 in words is "four hundred fourteen thousand, nine hundred fifty-three".