407253 has 32 divisors (see below), whose sum is σ = 709632. Its totient is φ = 201600.

The previous prime is 407249. The next prime is 407257. The reversal of 407253 is 352704.

It is a happy number.

407253 is a nontrivial binomial coefficient, being equal to C(903, 2).

It is an interprime number because it is at equal distance from previous prime (407249) and next prime (407257).

It is not a de Polignac number, because 407253 - 2² = 407249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407253.

It is not an unprimeable number, because it can be changed into a prime (407257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9450 + ... + 9492.

It is an arithmetic number, because the mean of its divisors is an integer number (22176).

2⁴⁰⁷²⁵³ is an apocalyptic number.

407253 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

407253 is the 902-nd triangular number.

It is an amenable number.

407253 is a deficient number, since it is larger than the sum of its proper divisors (302379).

407253 is a wasteful number, since it uses less digits than its factorization.

407253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 407253 is about 638.1637720836. The cubic root of 407253 is about 74.1233030750.

Adding to 407253 its reverse (352704), we get a palindrome (759957).

The spelling of 407253 in words is "four hundred seven thousand, two hundred fifty-three".