407053 has 4 divisors (see below), whose sum is σ = 413788. Its totient is φ = 400320.

The previous prime is 407047. The next prime is 407059. The reversal of 407053 is 350704.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (407047) and next prime (407059).

It can be written as a sum of positive squares in 2 ways, for example, as 13924 + 393129 = 118^2 + 627^2 .

It is a cyclic number.

It is not a de Polignac number, because 407053 - 2¹⁷ = 275981 is a prime.

It is a Duffinian number.

407053 is a lucky number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 407053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407059) 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, 3276 + ... + 3397.

It is an arithmetic number, because the mean of its divisors is an integer number (103447).

2⁴⁰⁷⁰⁵³ is an apocalyptic number.

It is an amenable number.

407053 is a deficient number, since it is larger than the sum of its proper divisors (6735).

407053 is an equidigital number, since it uses as much as digits as its factorization.

407053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 407053 is about 638.0070532525. The cubic root of 407053 is about 74.1111672216. Note that the first 4 decimals are identical.

Adding to 407053 its reverse (350704), we get a palindrome (757757).

The spelling of 407053 in words is "four hundred seven thousand, fifty-three".