413953 has 4 divisors (see below), whose sum is σ = 435760. Its totient is φ = 392148.

The previous prime is 413951. The next prime is 413981. The reversal of 413953 is 359314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 359314 = 2 ⋅179657.

It is a cyclic number.

It is not a de Polignac number, because 413953 - 2¹ = 413951 is a prime.

It is a Duffinian number.

413953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (413951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10875 + ... + 10912.

It is an arithmetic number, because the mean of its divisors is an integer number (108940).

2⁴¹³⁹⁵³ is an apocalyptic number.

It is an amenable number.

413953 is a deficient number, since it is larger than the sum of its proper divisors (21807).

413953 is a wasteful number, since it uses less digits than its factorization.

413953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21806.

The product of its digits is 1620, while the sum is 25.

The square root of 413953 is about 643.3917935442. The cubic root of 413953 is about 74.5275786369.

The spelling of 413953 in words is "four hundred thirteen thousand, nine hundred fifty-three".